{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Intro to linear inversion in R\n",
    "\n",
    "[Read how to get R installed in a conda environment.](https://www.continuum.io/blog/developer/jupyter-and-conda-r)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make the model\n",
    "\n",
    "First we make a cartoon earth model, using products of Vp and Rho to make impedance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Impedance, imp:                           Vp    rho\n",
    "imp <- matrix(rep(1, len=51), nrow = 51) * 2550 * 2650\n",
    "imp[c(10:15),] <-                          2700 * 2750\n",
    "imp[c(15:27),] <-                          2400 * 2450\n",
    "imp[c(27:35),] <-                          2800 * 3000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we compute the reflection coefficients with the same shifting trick we use in Python. I've put the Python equivalents here to try to make the R notation a little clearer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Python:   imp[1:]        imp[:-1]           imp[1:]         imp[:-1]\n",
    "m <- (tail(imp, -1) - head(imp, -1)) /  (tail(imp, -1) + head(imp, -1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Make `G`\n",
    "\n",
    "Now we need a function with which to generate a Ricker wavelet. I found this one on the Internet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "genrick <- function(duration, dt, f) {\n",
    "    # RICKER WAVELET GENERATOR\n",
    "    # Written by Leonard Lisapaly (leonardl@fisika.ui.ac.id)\n",
    "    # Converted to R by J Lees, 2004\n",
    "    #\n",
    "    # INPUTS\n",
    "    # freq = wavelet dominant frequency [Hz]\n",
    "    # dt   = sampling interval [sec]\n",
    "    # nw   = duration of wavelet [sec]\n",
    "    nw <- duration / dt\n",
    "    a  <- f * sqrt(pi) / 2\n",
    "    nc <- (nw + 1) / 2\n",
    "    tc <- (nc - 1) * dt\n",
    "    t  <- seq(from=0, length=nw-1) * dt\n",
    "    b  <- pi * f * (t - tc)\n",
    "    w  <- a * (1 - 2*b^2) * exp(-b^2)\n",
    "    return(w)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We use the function to make a wavelet 100 points long:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "wavelet <- genrick(0.101, 0.001, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(wavelet, type='o', col='blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because of how the `toeplitz()` function in R works, we actually only want half of the wavelet, so we take its second half. (Aside: slicing in R is not as convenient as it is in Python!)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "w_ <- wavelet[((1 + length(wavelet)/2):length(wavelet))]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now make the Toeplitz matrix, essentially the convolution matrix of the wavelet, and select only every other row to end up with an underdetermined problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "G <- toeplitz(w_)[c(TRUE, FALSE),]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forward model the data\n",
    "\n",
    "Now we can do\n",
    "\n",
    "$$ \\mathbf{d} = \\mathbf{G} \\mathbf{m} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "d <- G %*% m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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zCJUO2E1uAbTv0FLRot5VckeLzpZ7koZfyt8v314+MI9NOnXwhiUEIAABCMRNAIEUd/tQOghAAAIQWBGBsJc+9kX5++T/KjF09VwyYSMt3yDXvnA3bT9xbvvgNfh/8bbyYTHk6I8jUZ662wLI/uH+0rPV/Ul+ptI6XEtZOF8vW9ercxM3PFrrj5p7zysEIAABCEAAApMQYJKGSShxDAQgAIGJCdSzx31h/OFB+4JF0l3lz5G/V/4zuSJCQRGnelY67/9PuQRO2GmJtB6v/Z6o4eVyzVYXFLUK75Fr4oY6HXXpwyAAAQhkTSCrSRqybqmEKodASqixKCoEIBA7AUeJwjXyoYkRwsZ6f1/5i+QfkSvqE26QWwydIv+0/KXyh8lvOn0Ng0WSxhoFTcrgCFK4Qm7R9Da5LxwwCEAAAjkTQCDl3Lod1Q2B1BF4soUABHIkEG4uUWLhc+v52oXD9N6CRV3qwkflr5MvOGb+6JWt1dGjRyrdr8tPkGsKcAwCEIBAEQSyEkhM813EOUslIQABCBRF4ALVVhGk3i5Dtd5e6+/QOKG95J5hzpM2+JjT5A1ZdaXSVre83jFyddWrNC4JgwAEIACB1AggkFJrMcoLAQhAAALLEKgsfL4sf+HQgVtp/eKh996nY+pjhzY3surJHLZuJCUSgQAEIACBmRNAIM0cORlCAAIQgMAMCPyb8rinurm5a92mWr+RfM3curd5X8/HtGEIpDaokiYEIAABCBRFgDFIRTU3lYUABGZDIFgg/UWuLnf15Amanjtc2N9mgdSShfvP5ddS8iQLAQhAID4CjEGKr00oEQQgAAEIQGAhgepYbdld/gK5e0ycIf8nubbV+7TaijmCpKhV2KqV1EkUAhCAAAQgUAABIkgFNDJVhAAEuiIQKokVz2CnyM4szM9MqmfI0xKDAAQgUAQBIkhFNDOVhAAEIACBXAhsoYqsJ9cYpJmYI0g2JmqY48ArBCAAgaQIuMsBBgEIQAACEMiZwKCr2/Asdm3WV9N91+aJITAIQAACEEiMAAIpsQajuBCAAAQgMDWBgVCZUQSpnjpck0EQQZq6pfgABCAAgQgIIJAiaASKAAEIQAACrRKYdQTJlXE3O7rYtdqsJA4BCECgHQIIpHa4kioEIAABCMRDwBGkyzVznSZqmJkhkGaGmowgAAEINEsAgdQsT1KDAAQgAIH4CDiCNKvxR4PaI5AGJFhCAAIQSIwAAimxBqO4EIAABCAwNQFHkGY0/mht2ZwfXezW4mAFAhCAQDoEEEjptBUlhQAEIACBlREggrQybnwKAhCAQJEEEEhFNjuVhgAEIFAUgS4iSHSxK+oUo7IQgEBOBBBIObUmdYEABCAAgVEEiCCNosI2CEAAAhAYSQCBNBILGyEAAQhAICMCRJAyakyqAgEIQKBtAgiktgmTPgQgAAEIdE2ACFLXLUD+EIAABBIigEBKqLEoKgQgAAEIrIhAVxGkjVdUWj4EAQhAAAKdEkAgdYqfzCEAAQhAYAYEuoogbd7rhS1mUD+ygAAEIACBBgkgkBqESVIQgAAEIBAlga4iSIbBs5CiPCUoFAQgAIHxBBBI49mwBwIQgAAE8iDQVQTJ9BBIeZxD1AICECiIAAKpoMamqhCAAATKIxA2UJ03ka+Zcd2v7OeHQJoxeLKDAAQgsFoCCKTVEuTzEIAABCAQMwF3r7NdPLeY1Wt1lXKyKBvkP6uMyQcCEIAABFZJAIG0SoB8HAIQgAAEoiYwECgWK7O2i5QhEaRZUyc/CEAAAqskgEBaJUA+DgEIQAACURPw+CPbjCNIdZ4IpBoDLxCAAATSIrB+WsVtpLS+m+c/zI3kl8l9V/FyOQYBCEAAAvkRcATp+l6v8u/9rA2BNGvi5AcBCECgAQKlRJDuKFYfkP9VfqH8T/Lfyf8i95/mKfL3yreTYxCAAAQgkA8B3xDrInpkggikfM4jagIBCBREoIQI0n+oPV/Vb9MztPyR3CLJwsh/nNvIbyn/e/lj5f8k/5gcgwAEIACB9Ak4gtTF+COTc77utYBBAAIQgAAEoiHweJUkyL8i33eJUlXadx/5z+Q+/h7yWdp+ysz5bjjLTMkLAhCAQP4Ewov18/qLbuoZ3qS8v9xN3uQKAQhAYKYEfA3ra1lf0yZvuXexO1AtdKrcy6X+IN2g35M/WH6p/O/kGAQgAAEIpE/gRqqCIzldGF3suqBOnhCAAARWSSB3gbSP+LhL3dUTcvKf2a/lO0x4PIdBAAIQgEDcBNyVmjFIcbcRpYMABCAQFYHcBdLZon0nuZ+kPom5r7hFlSdwwCAAAQhAIH0CRJDSb0NqAAEIQGCmBHIXSB8WzdvIPyO/2xJkPQbp3vKvyjeVf06OQQACEIBA+gS6jiBtnD5CagABCECgLAK5z2Ln2ehuIn+N/AD5mXJP7X2B/BL5lvJt5LeS31x+nfyf5cfKMQhAAAIQSJ9A1xEk/c+EzfQcJp63l/65RA0gAAEIZEVgF9Xm43ILJE/IMOz+0/qj/L/kO8q7MGax64I6eUIAAgUQCL/UT/6Luqlo2E156/8m3KKb/MkVAhCAwMwIZDWLXe4RpMFZ4ZnsDuq/cdTIXS7c7cEPjm1j8K7/DI+W+2SZxLaY5CCOgQAEIACBqQl0HUFygT2+1b0XMAhAAAIQSIBAKQJpuCnctc7epp2nxN8jn3RyCD936cn946/REoMABCAAgWYIdDkG6cp+FSyQMAhAAAIQSIRAiQJpFk3jacXfN0VGFkUWSBgEIAABCDRLwL0G1jSb5KSpVVeoe51vyCGQJkXGcRCAAAQiIJD7LHYRIKYIEIAABCDQDYHg7svrydvoSj1plS7Sge7mh0EAAhCAQCIEco8gPUvt4LuH09oP9QE/YBaDAAQgAIF0CQyESUcRpBqcBRIRpHTPIUoOAQgUSCB3gfRctekdVtCur9RnEEgrAMdHIAABCEREwOOPbF1HkBBIc+3AKwQgAIEkCOQukB6mVvis3NNof15+hHwS+/0kB3EMBCAAAQhETWAQQUIgRd1MFA4CEIBAXARyF0jnCPf95N+VWyy9Sv5LOQYBCEAAAvkTcARJEyVU13ZYVbrYdQifrCEAAQishEAJkzR4Rrln9OG8YyWQ+AwEIAABCCRJwBGkLscfGZrzp4udSWAQgAAEEiFQgkByU/xG/lK5J2zYW45BAAIQgED+BBxB6rJ7nQkTQcr/PKOGEIBAZgRKEUhutrfI95Gf4DcYBCAAAQhkTyCGCBICKfvTjApCAAK5EShJIOXWdtQHAhCAAASWJkAEaWk+7IUABCAAgREEEEgjoLAJAhCAAASyIBBLBGmjLGhSCQhAAAKFEEAgFdLQVBMCEIBAgQQiiiCFTQrkT5UhAAEIJEkAgZRks1FoCEAAAhCYgEAsESQXlZnsJmgwDoEABCAQAwEEUgytQBkgAAEIQKANArFEkFw3BFIbLUyaEIAABFoggEBqASpJQgACEIBAFARiiCBd2SeBQIrilKAQEIAABJYngEBanhFHQAACEIBAmgQiiCBVlwmdHYGU5jlEqSEAgQIJIJAKbHSqDAEIQKAQAjFEkIz6IjkCqZCTjmpCAALpE0Agpd+G1AACEIAABBYRCBtok2eOu3jRrtlvsECyWMMgAAEIQCABAgikBBqJIkIAAhCAwNQEBoJkzdSfbP4DRJCaZ0qKEIAABFojgEBqDS0JQwACEIBAhwQ8/sgWSwSJLnZz7cErBCAAgegJIJCibyIKCAEIQAACKyBABGkF0PgIBCAAAQj0eggkzgIIQAACEMiRgCNI1/d69SxyXdePLnZdtwD5QwACEJiCAAJpClgcCgEIQAACyRBwBCmG7nUG5nFQdLEzCQwCEIBAAgQQSAk0EkWEAAQgAIGpCTiCFItAIoI0dfPxAQhAAALdEUAgdceenCEAAQhAoD0CjiA5chODIZBiaAXKAAEIQGBCAgikCUFxGAQgAAEIJEWACFJSzUVhIQABCMRDAIEUT1tQEghAAAIQaI5AbBEkP7QWgwAEIACBBAggkBJoJIoIAQhAAAJTE4gtgqQKhJtNXQs+AAEIQAACMyeAQJo5cjKEAAQgAIEZEIgtguQqM5PdDBqeLCAAAQislgACabUE+TwEIAABCMRIIKYI0lV9QAikGM8UygQBCEBgAQEE0gIgvIUABCAAgSwIRBRBqjzd+BVyBFIWpxaVgAAEcieAQMq9hakfBCAAgTIJxBRBcgtcJEcglXkuUmsIQCAxAgikxBqM4kIAAhCAwEQEIoog1eVFIE3UbBwEAQhAoHsCCKTu24ASQAACEIBA8wS2VJLu2haLWSBZtGEQgAAEIBA5AQRS5A1E8SAAAQhAYFoCYQt9Yj35mmk/2eLxRJBahEvSEIAABJokgEBqkiZpQQACEIBADAS26hcitggSY5BiODsoAwQgAIFlCCCQlgHEbghAAAIQSI7AoCsbEaTkmo4CQwACEOieAAKp+zagBBCAAAQg0CwBIkjN8iQ1CEAAAkURQCAV1dxUFgIQgEARBBxB0nOHqmsjqq2jWXSxi6hBKAoEIACBcQQQSOPIsB0CEIAABFIl4AhSTOOPzJFJGlI9myg3BCBQHAEEUnFNToUhAAEIZE/AEaSYxh8ZOAIp+9OOCkIAArkQQCDl0pLUAwIQgAAEBgRijSBtOiggSwhAAAIQiJcAAinetqFkEIAABCCwMgKxRpCqXi/cZGVV4lMQgAAEIDArAgikWZEmHwhAAAIQmBWBWCNIrj8TNczqLCAfCEAAAiskgEBaITg+BgEIQAAC0RKIMYJ0VZ8WAina04aCQQACEJgjgEDiTIAABCAAgdwIRBhBqjxJg0USAim3s436QAAC2RFAIGXXpFQIAhCAQPEEYowguVEskhBIxZ+eAIAABGIngECKvYUoHwQgAAEITEsgwghSXQUE0rQtyfEQgAAEOiCAQOoAOllCAAIQgECrBIggtYqXxCEAAQjkTQCBlHf7UjsIQAACJRKIOYJk8YZBAAIQgEDEBBBIETcORYMABCAAgWkJhPX1CT+Qdc20n5zB8XSxmwFksoAABCCwWgIIpNUS5PMQgAAEIBATgUGE5uKYCtUvCwIpwkahSBCAAAQWEkAgLSTCewhAAAIQSJnAQCARQUq5FSk7BCAAgQ4JIJA6hE/WEIAABCDQOAGPP7IRQZrjwCsEIAABCExJAIE0JTAOhwAEIACBqAk4gnS9/LIIS+moFs9BirBhKBIEIACBYQIIpGEarEMAAhCAQOoEHEG6pNerQoQVYQxShI1CkSAAAQgsJIBAWkiE9xCAAAQgkDIBR5BiHH9kphZInmEPgwAEIACBiAkgkCJuHIoGAQhAAAJTE3AEKcbxR66IBdJ6vV64sd9gEIAABCAQJwE/LwKDAASiIRD2U1EOku8i98XU1+WfUHeha7XEIACB5QnEHkFyDTwO6fzlq8IREIAABCDQBQEiSF1QJ08ILCIQfFf5fdr8A/mt5SfJPYbi7fJfaPVWWmIQgMDyBGKPILkGTNSwfDtyBAQgAIHOCBBB6gw9GUNgHQKv0bvHyO+paNGP5/eEbbT+KfmXJZL21b6r5/exBgEIjCAQcwTpyn55EUgjGo5NEIAABGIhQAQplpagHAUTCDdV5f9Z/sx1xZGRVBfqxcLpJvJD5BgEILA0gYgjSPXMeueq+AikpduQvRCAAAQ6JYBA6hQ/mUOgJvAAvXrWrc/P8wg7K2LU/35WF2u7o0gPm9/PGgQgMIZAzBEkF9ljCxFIYxqPzRCAAARiIIBAiqEVKEPpBDyj1dmKFvWf2xLc9fVE+ROGwJyl9W2H3rMKAQiMJhBxBKkuMAJpdLuxFQIQgEA0BBBI0TQFBSmYwBmquyNGG/YZ7KKln5Xy0P57L24j93EYBCCwNAEiSEvzYS8EIAABCCxDAIG0DCB2Q2AGBL6hPDyN9/P7eVkM2e43twi7a/k4+ZFz73mFAASWIJBCBMkiDoMABCAAgUgJMItdpA1DsUoiUF2m6NGLVeP3a3mdlpvIPZD7lnr/RC3fIJeIqobGKGkLBgEIjCJggeQxfbGau9jdPNbCUS4IQAACEOj1EEicBRCIgkD1YYkhfx/fKndXO0/M4KjSx+UfkT9XjkEAAksSCJtrt54pVn9/ljyyw50WSLftMH+yhgAEIACBZQggkJYBxG4IzI5AdbhE0meV30/kp8s9DukKRY4O0RKDAASWJzDouhZ7BIlZ7JZvS46AAAQg0BkBBFJn6MkYAqMIVLq7HDxb3b/KN5AfpvcaK1jdMOpotkEAAusQcPc6myOwsZojSAikWFuHckEAAhAQASZp4DSAQFQE6ofGbqMi/U7+bbnviN9FjkEAAssTGESQYhZIjm4hkJZvS46AAAQg0BkBBFJn6MkYAiMJeAY7R4tOUdTor1oeL3+gHIMABJYn4AjSlfruXLP8oZ0d4QjSZp3lTsYQgAAEILAsAQTSsog4AAIzJWCBZHF0dT9XTwGOQJppE5BZwgQcQXKEJmazQFL39uBIMQYBCEAAAhESQCBF2CgUqWgCFkjuXjcwC6T9dDG18WADSwhAYCwBR5Bi7l7nglsg2ehmN8eBVwhAAALREUAgRdckFKhwAgsF0g/Ew9/T+xbOhepDYBICqUSQXBcE0iQtyjEQgAAEOiCAQOoAOllCYAkCe2rfSfP7q8u1/kP5A+a3sQYBCIwhkEIESVP314ZAGtOIbIYABCDQNQEEUtctQP4QWEug7ka3o94Od7HzXsYhrWXECgSWJJBABKmesv881QKBtGRTshMCEIBAdwQQSN2xJ2cILCTg7nX+Tv5hwQ4LpNszqHsBFd5CYDGBFCJILrXHISGQFrcfWyAAAQhEQQCBFEUzUAgI1AQskDS1d3XBAh4/13t3tWM2uwVgeAuBBQQSiCDVJUYgLWg43kIAAhCIiQACKabWoCylE1g4QUOfR3WdVr4lRyCVfoZQ/+UIEEFajhD7IQABCEBgWQIIpGURcQAEZkZgjECq83c3u/vPrCRkBIE0CRBBSrPdKDUEIACBqAggkKJqDgpTOIHlBNKuGoe0S+GMqD4EliKQUgTJYg6DAAQgAIEICSCQImwUilQigVCp1rvLF85g14dRefvZcrrZ9YmwgMAIAkSQRkBhEwQgAAEITEcAgTQdL46GQFsEdlLCm8qHnoG0KKtjtIXnIS3CwgYImEBYXy/+Dl3sd5EbkzRE3kAUDwIQKJsAAqns9qf28RBw97qr5WcsUSSPQ7qfLgQdbcIgAIF1CQy6rK1Zd3OU7xBIUTYLhYIABCAwRwCBxJkAgTgI9Mcf1Q+RHFciz2S3nfwO4w5gOwQKJuDxRzYiSHMceIUABCAAgRUSQCCtEBwfg0DDBJaaoKGfVXWmVn4rZxxSw/BJLgsCKUWQHOXaLAvqVAICEIBAhgQQSBk2KlVKksAEAqmul7vZIZCSbGIK3TIBR5BukF/Wcj5NJO8udhuqu+xA1DWRJmlAAAIQgEBDBBBIDYEkGQisksA0AuleurDSxRUGAQgMEbDYUPe6Kgxti3XVAsm29dyCVwhAAAIQiIkAAimm1qAshRKo7yLfRJUfM8X3Oli+p3cbye+5zlbeQAACjiClMP7ILYVA4nyFAAQgEDEBBFLEjUPRiiGwp2rqu95/XL7GlS8Afyqnm93ysDiiLAKOIHlsTwp2eb+QRJBSaC3KCAEIFEcAgVRck1PhCAlYIJ2urkGDi6bliuhxSDwPaTlK7C+NQEIRpOp6Nc4FcgRSaWcp9YUABJIggEBKopkoZOYEJh1/NMBggXRnBZ22HGxgCQEI9FKKILm53M0OgcSJCwEIQCBCAgikCBuFIhVHYFqB9GMR8kNl718cKSoMgfEEEoog1ZVAII1vS/ZAAAIQ6JQAAqlT/GQOgZrAlAKpukaf+q6ccUicQBCYJ0AEaZ4FaxCAAAQgsAoCCKRVwOOjEFg9gbCB0thZPskMdsPZ8TykYRqsQ6DXI4LEWQABCEAAAo0QQCA1gpFEILBiArvrk+vLVyKQ9tA4pO1XnDMfhEBeBIgg5dWe1AYCEIBAZwQQSJ2hJ2MI1ATcvU5Td1fnTsnjBB1/vvzBU36OwyGQK4EUI0gWdRgEIAABCERGAIEUWYNQnOIIWCCdNH2tKz83iW5204PjE/kSIIKUb9tSMwhAAAIzJYBAmiluMoPAIgJ+BtIKBFKdjgXS/RalyAYIlEnA094rGpuMMYtdMk1FQSEAgdIIIJBKa3HqGxuBKWewW6f439Q7jUEKt1tnK28gUByBsLmq7LF8axKqOgIpocaiqBCAQFkEEEhltTe1jY/ArVWkaSdo6NeiOk0rJ8uZ7rtPhEWxBDz+yJZaBGmzuWLzCgEIQAACMRFAIMXUGpSlMAJhB1XY3YJWKJBqXIxDKuysobojCQwmO0gpguSybqwIsH8DMAhAAAIQiIgAAimixqAoxRFw97rr5H9aRc0tkO6jiyx3L8IgUCqBVCNIbq+tS2006g0BCEAgVgIIpFhbhnKVQMAC6Y+a4vvaVVT2O/qsx1/cbRVp8FEIpE7AEaQr9V26JqGKeAySDYE0x4FXCEAAAtEQQCBF0xQUpEACq5mgoY+rukArv5AzDqnAE4gqryXgCFJK449c8Mv7pUcg9UGwgAAEIBALAQRSLC1BOUok0IBAqrF5NjsEUolnEHUeEHAEKaXxRypuHTl2FAmBNGhFlhCAAAQiIYBAiqQhKEaRBFbzDKRhYB6HpC52gRmxhqmwXhKBFCNIbh8EUklnKXWFAASSIYBASqapKGheBOrntngWu9XMYDdAcqxWbpDfd7CBJQQKI5BgBKluIQRSYScq1YUABNIggEBKo50oZX4E3L3O9oe5xWpeKw1O7/1ATje71WDksykTIIKUcutRdghAAAKREUAgRdYgFKcYAhZIZ2kcQlMDy3keUjGnDhUdQYAI0ggobIIABCAAgZURQCCtjBufgsBqCTQ1QcOgHBZIe2kc0k0GG1hCoCACRJAKamyqCgEIQKBtAgiktgmTPgRGE2haIHmqb0ej6GY3mjdb8yZABCnv9qV2EIAABGZKAIE0U9xkBoG1BBoWSJUnaWC677V4WSmMQMoRJIs7DAIQgAAEIiKAQIqoMShKKQTCeqrpbvImZrAbhmaBdP/hDaxDoBACRJAKaWiqCQEIQGAWBBBIs6BMHhBYl8AueruR/KR1N6/6ncch3UrjkHZfdUokAIG0CKQcQeJBsWmda5QWAhAogAACqYBGporREXD3uivkZzZbsuqPSu/PcsYhNQuW1KImENZX8fyQ5DVRF3N04S7ql330XrZCAAIQgEAnBBBInWAn08IJWCApelSFFjgcozQRSC2AJcloCTh6ZGtqyvy51GbzaoG0qaK+m88mO3KBAAQgAIFJCCCQJqHEMRBolkDDEzSsUzh3s9tfF1x8t9fBwpuMCQwmOUgxgjQoM93sMj5BqRoEIJAeAS6i0mszSpw+gTYF0reEZxv5ndLHRA0gMBGB1CNIriQCaaKm5iAIQAACsyGAQJoNZ3KBwDCBPfSm6Rns+ulX52rl13K62fWJsMiegCNInub+0gRrelm/zAikBBuPIkMAAvkSQCDl27bULEoCYTsVa1t5SwKprrS72SGQahS8FEDAEaRLWhrT1zK+6hpl4LFTCKSWSZM8BCAAgWkIIJCmocWxEFg9AXev893uk1ef1NgU/Dyke2gc0sZjj2AHBPIh4AjSYCxPirXyRA0IpBRbjjJDAALZEkAgZdu0VCxSAnuqXKfqbvdVLZbve0rbD6O9V4t5kDQEYiHgCJKjMKkaAinVlqPcEIBAtgQQSNk2LRWLlECbEzT0q1x5XMOP5XSzi/QkoFiNEiCC1ChOEoMABCAAAQQS5wAEZktgBgKprhDjkGbbruTWHQEiSN2xJ2cIQAACWRJAIGXZrFQqYgKzFEh31DgkT/mNQSBnAkSQcm5d6gYBCECgAwIIpA6gk2WpBOpJE26l2rc5g90A7k+1crn8/oMNLCGQKQEiSJk2LNWCAAQg0BUBBFJX5Mm3RAK3VqX9nft9+5WvrlMe35EzDql92OTQLQEiSN3yJ3cIQAAC2REoXSD5bv6D5XeQb5Jd61Kh2Ai4e935msFOPhNjHNJMMJNJxwRyiCBZ5GEQgAAEIBAJgdwF0rPF+WPyheJnb237mfw0+dfkv5SfLX+J3NMjYxBog8Csxh8Nyu7nIe2qcUi+EYBBIFcCRJBybVnqBQEIQKAjArkLpLuJ60HyDYf47qj178vvLP+5/L3yj8s9NfIb5G+WYxBog4CfgXRSGwmPTrP6jbafI6eb3WhAbM2DQA4RpM3yaApqAQEIQCAPArkLpFGtZBHkP9R/lN9F/hz5k+W3ljva9CI5F5SCgDVO4DZKcRYTNAwXnG52wzRYz5GAf8/XJFyxi1T2zRXp3TThOlB0CEAAAhBIiMARKmuQ+w90YH/Syk8GbxYs3RXP40Net2D7tG930QcukV81oV+j41xO7iIKQp4WKjWxZpULD59t/cLByvNcufLHIJAbgaDfzKDfzuCbXYla2K1fhx0SrQDFhgAEIGAC7q3la9n9/CZ1Wz/1Cqyg/FvqMx6bMcqu1Ebf4d9r1M4ptp2mYw+UbzDhZx6q41444bEcliaBW6rYvkM86wiSz/WbyPeRHy/HIJATAY8/sqUcQRqUfWvV48y6NrxAAAIQgECnBEoUSMeJuCdpGGXbaqPvRH5o1M4ptt2gY781xfG+eMbyJuDudVfLT59tNau/6IaORdkD5Qik2cInt/YJDHoHXNx+Vq3l4PGvNgskDAIQgAAEIiBQyhgkPzTzf+Uvlv9Q7gkaHiUfNouUd8odIvzu8A7WIdAAAQukP2iK7+sbSGvaJBiHNC0xjk+FQAYRpMpdsS+VI5BSOesoJwQgAIHECTxO5f+s/FS5+0UO+xl6P7BHaOVaufcfK5/1eI1n9fNmDJJA5GnhMJ1eR3ZTt/C3ylt3qcMG3eRPrhBoi0B4mM5rd41O3IIiyx4viEEAAhBIlgBjkBJquk+rrHabu2LcYciHRZCffeQ/WU/3/SK5hRIGgSYJOILk6eW7sO8o043l95ATHRUELBsCjiANxvCkXKmLVHgiSCm3IGWHAASyIlDSGKSL1XK+OBx1gXiMtnv8kaNIGATaILCnEn1fGwkvn2alcz/8XMc9QD7q/F8+CY6AQJwEfOPLv+2pGwIp9Rak/BCAQFYEShmDtFyjOXqEOFqOEvtXSCD4Iu6m8lnPYDdcXsYhDdNgPRcCRJByaUnqAQEIQCAiAgikiBqDomRLwNEj2x/nFp28WiBphsbgae4xCORCgAhSLi1JPSAAAQhERACBFFFjUJRsCXj8kSYFqTRRQmf2I+XsBxLv31kJyBgCzRMggtQ8U1KEAAQgUDwBBFLxpwAAZkDAAqnL7nXKvvIzmDxJhJ+HhEEgFwJEkHJpSeoBAQhAICICCKSIGoOiZEsgAoFUs2UcUranWLEVI4JUbNNTcQhAAALtEUAgtceWlCEwIBCTQNJ4qLD9oGAsIZA4gZwiSBZ7GAQgAAEIREAAgRRBI1CEnAnUD2fdVTXsuItdzfh4vZ4vp5tdjYOXDAjkFEHiQeEZnJBUAQIQyIMAAimPdqQW8RLYTUXz88ZO6r6IlR+A/C25n4eEQSAHAjlFkDTDZNg4h0ahDhCAAARSJ4BASr0FKX/sBNy97hJNknBOJAVlHFIkDUExGiGQUwTJQLZuhAqJFEggVBLYB8mPlp8o16Q84eVyzqkCzwaqvHoCCKTVMyQFCCxFwAIpgujR2iJaIGkMUhg8m2ntDlYgkBaBsJ7K625pF6dV7pGlvai/lYvZkXjYuDSBsIn2f0X+fvlZ8sPk35b/nfw3+r2/g5YYBCAwBQF3/cEgAIH2CFggxTD+qF/D6k/6szxVbzwOKSbh1i8fCwhMTGAwqcGaiT8R74GX94uGQIq3jWIu2TtVuD3k+6i3gn/f+xZeo5UPyr84d1OsunSwhyUEILA0ASJIS/NhLwRWSyAygVRXh252q21VPh8DAY8/smUQQaquUD0skhBIblFsCgJhJx38dPnB64ojJ1H54eCHyq+X/70cgwAEJiSAQJoQFIdBYIUEYhVI++uOorsoYRBIlUBOESS3gbvZIZBSPRu7K/f+ylrd6qrvzRch3FO/7xvOva8fEv5Zrd9/fj9rEIDAcgQQSMsRYj8EVkygft6QZqaKqYtdXRn3Td9Cftf6HS8QSJOAI0g3yHPpNoRASvM87LrU/i2/cL4Q9Xgk/8Y/Z35bvd/HYRCAwIQEEEgTguIwCKyAgPuEXyc/ZQWfbfEjlZ+F9Cu5xyFhEEiVgCNIniEypFqBBeVGIC0AwtuJCPxRR+2uiNHm/aNvq+UG8kP6773YV+7jMAhAYEICCKQJQXEYBFZAwDPFnawLuGtX8Nm2P+JxSA9oOxPSh0CLBBxBymD80VpCCKS1KFiZgoCjRRfI/73/mb20vEx+R4kmu3sKHCD/qByDAAQmJMAsdhOC4jAIrIBAjOOPBtWwQHqB/jw3lYDzAHEMAqkRcARpTWqFXqK8CKQl4LBrHAGPMQqegMHPP3LkaCP5D+SOKL1efhf5B/U7/x0tMQhAYEICCKQJQXEYBFZAwALpuBV8bhYf+b4ycdek+8i/OosMyQMCDRPIMYK0W8OMSK4IAtWX9XP+cFX1PfKd5B6XZ6HkiRpeK3+FHIMABKYgQBe7KWBxKASmJBBxBKm6UnX5ofyx+mO9k3zbKevG4RDomgARpK5bgPwjIlB9XYXRWKS6u93HtXyq3L0DTlD0yJOZYBCAwBQEEEhTwOJQCExOIGymY28hj+ghscOlD0/UOz1UsPdM+c/lf5VIUiQpWNRhEEiBQI4RJKb5TuHMi7eMnjX1xvL3ShR9Wssj5X5GEgYBCExJAIE0JTAOh8CEBPbQcZX89xMeP8PDwkuUmQfsfk7ubnY7y+8l913Gn2jTHbTEIBA7ASJIsbcQ5Zs1gdsrQ/+OD27MaexR70H6Td9h1gUhPwikTgCBlHoLUv5YCTgSc4400pq4Chj2VnleJz9I/my5ZwG7u8r5Iy0fIVdfdounwG+DQGBRE8gxgmTRh0FgpQT8+/4H/Z67C7Ws8ljTP8kP9jsMAhCYnAAXQZOz4kgITEMg1vFHz1Ilvqs/zs/Ir9f6d+QPlMvq58m8UCuenvye3oJBIGICOUaQNKtkcOQZg8BKCFggaczROuYo0iHrbOENBCCwLAEE0rKIOAACKyJgkXHSij7Z7oc87uh7Q1kco/UHzL+vztW6uwX6jxaDQMwEcowgmfdNYoZO2aImMEogfVgl3lXC+95Rl5zCQSAyAgikyBqE4mRDINYIkh9au9EQ5eO0vpP+PDcZ2rax1n0cBoGYCeQYQTJvJmqI+ayLu2y3VfEWRJCqM7XNM9wdGnfRKR0E4iKAQIqrPShNFgTq8Tt+nslgoGxMtfJYo0cOdeO5oF+4/jTf4XZ6v4vcx2EQiJmAZ+zyGLpc7PJ+RRBIubToTOsRdlJ2/k4sEEh1IY7Q6+P0u++Hx2IQgMAEBBBIE0DiEAhMSWBnHe8oTIwC6TCVayf5K+W2IYEU/Od6uPyrGo90ondiEIiTQD2N/gYq25o4y7eSUlWX6VMeXI9AWgk+PuPudT5/PCnDQjtaG66RP2HhDt5DAAKjCSCQRnNhKwRWQ8Dd6/yAvj+vJpF2PludrXQ9g92/6G7iV7R8qDzIPXnDr+QWSYfIMQjETMDjj2w5RZBcn4vkCCSTwKYlYIGkG1ujHgpbXa19/ys/dNpEOR4CpRJAIJXa8tS7TQIWSJrooJ4Vrs18Vph29UV98E5y331/Zz+Rx2rpP9C7qdyeqAGDQMwEPP7IllEEqa4PAqnGwMsKCFggjepeN0jKs9lpdtKw+2ADSwhAYDwBBNJ4NuyBwEoJWCDF2L1uqD7VbyWEFEmqttVGibneq7X+cvmlQwexCoFYCRBBirVlKFdXBJYRSNUvVTD3EiCK1FULkW9SBBBISTUXhU2EQAICaR2SF+idhRIGgVQIOIJ0lQS9uw7lZESQcmrNmdUlbKCsbi1fKoLk0niyhqcpirSe32AQgMB4Agik8WzYA4GVErBAOmmlH+7gcwikDqCT5aoIOIKU2/gjA0Egreq0KPbD/s+xSFpOIH1Mx2wnf4gcgwAEliCAQFoCDrsgMD2BcGN9xh55F7t1aoZAWgcHbxIg4AhSbuOPjB2BlMDJF2ER3b3ufEVU/7p02Sr/1n9eTje7pUGxFwI9BBInAQSaJeA7eTfI/9hssq2mhkBqFS+Jt0CACFILUEkyWQIWSMdPWHp3sztA3ezoVj0hMA4rkwACqcx2p9btEbBAOk138jQ+IhlDICXTVBS0T4AIEqcCBOYJWCCdOP92ybVjtPc8+VOXPIqdECicAAKp8BOA6jdOwAIppe51BqCuGXW3QK9jEEiBABGkFFqJMs6KgAXScuOP+mWprtfKh+WH9DewgAAERhBAII2AwiYIrIJAigKJCNIqGpyPdkKACFIn2Mk0PgJhC5VpR/mEAqmuwYf0egd1s9u3fscLBCCwiAACaRESNkBgVQRSFUhb6s+yWlXN+TAEZkcg5wjSpnwXZ3ciZZDTPv066Nl2k1rlMbLflz990k9wHARKI4BAKq3FqW+LBMJGSnwneWpd7BxB8m+BZ9/DIJACgZwjSL5RwXcxhbMwjjK6e92pGvd62ZTF+aCOf7LEuP+3MAhAYAEBBNICILyFwCoI+EF9fgBfSs9AcnUtkGzMajTHYYLXsLEuLJ4rP0r+HblmhgoPmuCDHNIMgZwjSCa0dTOYSKUAAnupjtN0rxsg+ZRWNpT/7WADSwhAYJ4AAmmeBWsQWC0Bd6+7UHfyPOlBSramX1gE0kStFgZPrP8PHX6W/NtydVHsfVki6WNyP7ARa5dAzhEkk0MgtXv+5JS6I0grEEh1xOlIffbQnGBQFwg0RWD9phIiHQhAoGeBlFr0SEX2lOThUq0gkJY9icMmOuRL8t/Ln7Rut5Zwe237qvxN8hfJsfYIZBpBqr+LNwgbAqm9cye3lG+nCr1zhZVyN7vv6vf/Fvot+8sK0+BjEMiSABGkLJuVSnVEIMUJGgao3M0OgTSgMX75DO3aXL5AHPkD1fF68d3Y5+uCY3tvwdogENyN1W0wiHy2kUmXaf5VmSOQumyBZPIOO6io/t0+cWVFrn6gz50iP3hln+dTEMiXAAIp37alZrMngECaPfNZ5/hgZfjp+chRUBQ+uItL36qvaMVi8/6DLSwbJ+Doke3iuUV2rxepRgik7Jq1lQr5t+dquWelW6k5isRsdiulx+eyJYBAyrZpqdhsCdRTZO+hPH8323wby+18pcTMWcvj9IXruUOHPULrv5ZIUre6OrLhXd6/jVewVgh4/JEt1wgSAmmufXldnoAFkrp1V9ctf+jYIz6iPTvp9+s+Y49gBwQKJIBAKrDRqXIrBNSHu7eZPFWB5KgHXeyWPzX+pEP2GjrMXenM7lD5N3SRcSstd5X7OKwdAkSQ2uFKqukRsEA6YXXFrs7U578u928YBgEI9AkgkDgVINAMAXevu0ae6oUxAmmy8+DjOuwxEkIeGG27qfw3cj+R3gJZ0aT6PPimllg7BBxB8kQGl7STfOepEkHqvAmSKUADAqmu6xF6fZx+1zy2D4MABEQAgcRpAIFmCOypZP6grg7XN5PczFNBIE2EvB5j9Hkd+jVdTDxQy5vI3aXOA+u/IPcFxhbyZ8qxdgg4gnSpvmuhneQ7TxWB1HkTpFCAukuvb8ytMoJU1/VovV4lf2L9jhcIQKCnAcYYBCDQAIGUJ2hw9RFIk58ET9Ghb5V/Ve6o4WXy8+S+wHiyfGP5YRJQ99BSQmnqJ9zrY9gSBBxBynX8kattgeTIAAaBpQjsrp3+rWlAIFX6HQv/q7Tcze5wOQaB4gkQQSr+FABAQwQQSA2BjD8ZX0xUz1c5d5b/WX6c/KlyjT+qPin/sNb3k99Z/hNdePjcwJoj4AhSrjPYmRIRpObOlZxTsojW96AeQ9REPT+oRHRTp34QdhPpkQYEkiaAQEq6+Sh8RARyEEi+M49NTKCyOLJ9Thcp6nZXXTH31q/1M5HupJWT5T/TRcfjvRVrhEAJEaStGyFFIjkTsEDymMeGrPqVEvql3FEkDALFE0AgFX8KAGD1BMKWSuPm8lRnsDOC8+XqrlHXxe+xyQh4DJLHH42wylGOA+Wvl2tyh/AWOd2aR5CachMRpCmBcXiWBCyQGuhetw4bT9bwNP1O+WHMGASKJoBAKrr5qXxDBAZdqH7fUHpdJHNBP9Ntu8g8zTxrseOL9TECybXyRALV67TyELkuPHrf0sWHxTS2cgIlRJA8IyIGgaUItCGQPqYM/R/w0KUyZh8ESiCAQCqhlalj2wQskP6iC2EP1k/VEEjTt9zN9JFK7lnslrHqmzpgX/kG8l9IJN1nmQ+wezyBEiJI+m8O3KwYfw4UvidsKgAeA9lwBKm6UGmqu3Dv6XIMAkUTQCAV3fxUviECFkgpd69T8Wtxd71WuCib/KRw9zrbEhGkuQPmXiuJ6N595Z+RSzCFf57bzuuUBEqIIBkJ45CmPDEKOnwv1dXXb34GW9PmyRoO0O/TjZtOmPQgkBIBBFJKrUVZYyWwpwp2UqyFm6JcvtBHIE0OzALJM9pN8cDStTPgHazPvloXIZ+WbzF5lhwpAiVEkNzQCCRO93EELJDO0G/PmnEHrGL71/VZP7bAjzPAIFAsAQRSsU1PxRskkEEEqabhbnYIpMlPjJvq0HMmP3z4yMp9/e8m31vuWe5uN7yX9SUJZB5BqmdDvEEEEEhLngZF7/TvxgntEKh87n1Ifmg76ZMqBNIggEBKo50oZbQE6oH6u6p4iXexqwEjkKY7z5aYwW6ShKoTddRd5O4m4+clHTTJpzgm+wiSm9h38BFInOzjCLQokOosP6TXffSbdKdxBWA7BHIngEDKvYWpX9sELI488B6B1Dbp+NJfpUByhdw9r3qsVl4l/4guSN4u9/mEjSfgLnZtdC0an+Ps97h+CKTZc08lRwsk32BpySo/v+17ciZraIkwycZPAIEUfxtRwrgJuHvdpbrIPSvuYk5UOj8LiYG5E6GqD3IXuwknaFgu0erNOuKB8ifIvyuRtMPiT4RNtF1estWzd1lAXpw5hYtUPwRS5o28suoF35ixt9TFbm2pPFnDk/Wbs9HaLaxAoCACCKSCGpuqtkIgl/FHhkMXu+lOEV+knDvdR5Y6upIwqqcC9xgATwV+P3klf478t9p2xZx7PTx7bp+2lGUef2TLPYKEQJprZ14XE3D06Dp528/d+5Ty8M2IA+UYBIojgEAqrsmpcMMEEEgNA00oOQukhiJIg1rXkUgJo97H5cfIfyl/o/wT8v367nVHnDTRgwVUUebudTYiSHMceC2PgAWSxFF1dbtVry5X+kfKD203H1KHQJwEEEhxtgulSocAAimdtmq6pA12sRsuWnWtLn5eqC0fkWugdO/n8rdp24/7/mq9v4f8YfLnyUsyIkgltTZ1HUXAAqnt7nWDfI/Qirr+hh0HG1hCoBQCCKRSWpp6tkXAAumkthKfcbp0sZsO+LY6vMEudosy90Nl/1u+vVwiKfjCqG/1DHhv0BsLqZLMESTdOW/77nnnSC9SCRiD1HkzRFkAPwNpRgKpOlZ5ecIGP7cNg0BRBBBIRTU3lW2WQLiZ0vMd7RxmsDMaC6TNdSHOLGqmsaQFX7x68HLDXewGmYZttLaL/CNyTwX+S7kiSOHhWg7sK1rRLIr1sYNtuS/9fVuTeyVVPwRSAY08fRXrLrW30+dmJJDqEnqyhkP0O1Nad9668ryUSwCBVG7bU/PVE3D0yINlfYctB7NAsjGT3RyHpV7dvc7WkkDqDX6br1e05DL5E5TX5+TPcaZ9077aBsf232a9cAQp9/FHbkAEUtan8Yort4s+uZl8lgLpI8pvJ/l95BgEiiFQ0h9rMY1KRWdGwALpVF28asxIFjYQSO46hi1NwBM02M6fWzT9WjndP8s99ffAfqiV3QdvtPQ+HVMfO7Q561UiSFk3L5VbhoC72eqGSe/0ZY5rcHc9cczXlOChDSZKUhCIngACKfomooARE7BAyqV7nTEPui4RQVr+pLNAkqBsVRy/S3m8VF1bduoX549a7qL3+t2ut2lfz8eUZCVFkNTdFYPAOgQskE7U705YZ2v7b45QFo/T784W7WdFDhCIgwACKY52oBRpEshMIFXuLnihnAjS8udjSzPYrZPxW/ROz0Pq/UQXJs/V8hr5hvLhhgZrAABAAElEQVSXzW2r9/mYkqykCNJ6anePRcMgMCBggTTL7nWDfL+glSvlTxxsYAmB3AkgkHJvYerXJoHMBFKN6gK9IpCWP2scQWpzBjslXwvWR2rlHfL/kH9bbnuR3Nu0rz7G20qxkiJIblMLQgwCAwIdCaTKN2f+R/70QUFYQiB3Agik3FuY+rVEIGyqhG8pz6mLnVkhkExhebNAamuChqHcLYCq12jD9nKfb6fIJZa8rThxpKrXgmHQFdTvczVP0mBjqu85Drz2gmfN3E1+QkcwPJvdPRTV3KOj/MkWAjMlgECaKW4yy4iA/yQ87SkCKaNGnaIqMxJIgxJVN+h086QNJ8l9kVSqlRJBulwN7HEmCKRSz/TF9d5Tm9aX/2bxrllsqY5XLu7ySxRpFrjJo3MCCKTOm4ACJErA3evUxaoa3OlNtBqLik0EaRGSkRs8BqnlLnYj8/VEDSULpELGINWD8D2TIQJp5NegyI3uXne2/nPO67D2Ryjvv5N21/g4DAJ5E0Ag5d2+1K49AjmOPzItBNJk58yMI0hrC2WBNDzV99odhayUEkFyc/rmCwKpkBN7gmpaIHXVvW5QvI9rxROHPGywgSUEciWAQMq1ZalX2wQQSG0Tjjv9LgXSzgXfwS0kglSf/B5rhUCK+3dglqWzQNIU311a5VlOPyenm12XzUDeMyGAQJoJZjLJkECuAsndengO0pInbNhAux3JmMEkDYsK4giS899p0Z7sN9TdejZXNS/OvqpzFSSCVEhDT1jNGCJILqonazhAN2n4n5iw4TgsTQIIpDTbjVJ3SsAP6uzdWp7bBA2meoF8W69gYwncrL+nizFInqjhanmJ3ewsSm2OrJRgCKQSWnmiOgZHTneQd93FzqU9Ru7fvqf6DQaBXAkgkHJtWerVJoFbKfGN5bkKpMGFaJsMU07b3etsHUSQPJtd71R5yQKJCJLPPqwkAvuosv7uexbLjq3+DfqwCnFoxwUhewi0SgCB1CpeEs+UgLvXXSk/PcP6OYKkqWSDB+Jiowl4BjtFcapLR+9ufWupEzX4LrqNCNIcB17LIeDudSfrN+eKSKp8tMqxl/4ndJMwnCb/lvxZck9DjkEgCwIIpCyakUrMmMCeyu/3+rPyc0pyMwskG93s5jiMenUE6ZxRO2a0rVSB5Mimv3NdCdMZNe/abOhitxZF8SsSI1F0r1Mxwt308mW5xZonbXiF3M9HepP8m9rvcYIYBJIngEBKvgmpQAcEcp2gwSgHd+cRSONPLAukDrrXrS2QBVKJz0JyBOkS3ZhwV6MSDIFUQitPVkdHkE6Y7NA2j6rHQjl69Dn58+X+L/ykvpP/R0uLOI/PfI8cg0DyBBBIyTchFeiAQMYCqbpcPH1nEIE0/sRyF7uuBdJOBXZncQSplPFHPvsQSKaAmcDt5BEIpN6zVQ7/R/yD/FNyd6k7UC6rztTLwfIn67dpV2/BIJAyAQRSyq1H2bsikLFAqpG6mx0CafzZ5QiSZ3HqyhxB8oXJzl0VoKN8HUFa01HeXWRrgbRFFxmTZ0wEwi1VGp/7MQik/VWOoySGrpVbKB0pP1Tet+rHWvmL/D6DLSwhkCoBBFKqLUe5OyJQT16wnTLX4NRsDYG0dNN23cXOFyBXyUubya7ECJKEcN2taekzkr05E3D3Ok8KdGoEldxMZRi+SXGY3j9A5+hDhsrmKK+PwyCQNAEEUtLNR+E7IODokQeK/6GDvGeV5fnKiIcAjqfdcRe7enIQzWhVnEAqMYLks3Dr8aciewogYIH0W0Vsro+grr4xeNf5clTHaf3/yd+vv8Ut5b6J4WcEahIjDAJpE0Agpd1+lH72BCyQNL135Tt6uRoRpKVbtusudi5diQKpxAiS29rCECuXgAVSDN3r3AJ+/tHDJYTu7Td9+3ctHdG2UHq1/Cz5d+QYBJImgEBKuvkofAcEch9/ZKQIpKVPLI/P6nKSBpfO45BK62JXWgTpMje0jAjSHIdSXyMSSNWxaoR3yb8kkfRM+Sb9m4X/om2HyJ8rf4a2aYwSBoG0CSCQ0m4/Sj97Ansqy5Nmn+1Mc0QgjcVdj0HbULsRSGMZtbajsAhSPZ25v4sIpNZOqdgTrh+8uodKGUsEycBeIP9P+VvkmnY/+FlIR8m9tB8nxyCQPAEEUvJNSAXaJ+BB0uF58iOUl2fnuZnWc+72gkAaf1J5/JGty1nsnL8jSLfUeWixVoqVFkFyu14kRyCVcoYvrqfFkb/jEQkkj4Gs3qwy6X+w9yC5Ika9O8h3lK+Rv02OQSB5Agik5JuQCrRLoJ6d5xTl8a9y/1H5KeEPkGvbOjP3aFM2hkAa35Qef+RJOsyoS7NAWk9e0lTfhUWQ6tMLgdTlt6z7vPdWEfRbU53TfVEWlsDjcKvvyBU9qo6Xe1zuIfKn6idS45QwCKRNAIGUdvtR+lYJhNsr+c/J3y/fRf56ub8zd5R7m/bVx2g1K/PF/42yqlFzlbFA8gXLdc0luaKUztKnrpCXNA7J5+SaFdFK90OuLxGkdNtvtSW3QIooerRcdaof6Yi3yt+n/0b+Q5bDxf6oCSCQom4eCtcxgdcp/6/oYljRo3rQqSdo0B3dShen3tb7qtzH5Gae5lvPsQg8y2Jxy7qLXdfjj1SEIqf63koVv3hxk2S9Rb83CKSsW3jpyiUmkOrK/IdeL5W/bemqsRcCcRNAIMXdPpSuMwJhI2X9YPm7h4qwcAY7z+ajY+pjhw5LftURJNu2cwtehwg4gtT1+KNBcdzNrpAIUthUdd1AXloECYE0ONvLXCYokKqr1FRPlz9F/42PLLPZqHUOBBBIObQidWiDwDZKVE+x750xlPi+Wj9x6L33+Rgfm5MhkMa3pgVSBBGkuoAlPQvJ0SMbEaQ5DrxmTyBsoSreSp5QF7tBo1Q/1tp/yd3Vji6iAywskyKAQEqquSjsDAm4m9nV8t3m8gwba+mI0hfn3tev3udjfGxO5u4RN8iJIC1u1Ui62NUFKyiCtHZMHBGkxeckW/IksFe/Wr9JtHqvULn9fX17ouWn2IUTQCAVfgJQ/XEE6jFHX9DeF+sOWKWlpzP19+UYuazepn09HZPbQ/Hq569Y9CGQ3NTrWmxd7DS1bnZdPNclPveOCNIoKmzLmYAF0mn6f7k0zUpWvnl4iPwg/UYdkGYdKHXJBNw9CIMABEYTeKk2/1x+uNzjH76sPytNZVp3ffAA1DvL7yLP0dzNDoG0uGVj6mLnCJJF+y7ykxYXNastnhFLF1z1+IasKrZMZRiDtAygjHfvrbqdkHb9qp/q//JNqsN7tTxW318/SBaDQBIEiCAl0UwUshsClS9AHTm6n/wp8lvrR/5rWp7Z36Yud/UxepudIZBGN2lEXeyqs1XEy+S7jy5qVlsdQSpt/JEb0AJpC69gxRHIQCDVbfYqvfo8fkdxLUiFkyaAQEq6+Sh8+wR8B6z3HPn18m/KfyE/VK4Z7ep9Ws3SEEiLmjVsqE2+WI1lFjuXsJSJGhxBKm38kdvXF5Y678KWfoMVRcBd7IYnBUq08mu72j1R5/HfJloJil0ggeW62L1FTHZaAZdP6jNHruBzfAQCMRI4QIX6hgSRxxyVYh6DdONSKjthPW/WP+6vEx4/i8Mc5SSCNAvS3eRhgWTzTGCX1Gu8FEAg3FyV9O9v4l3sBk1V/Uzi6I169x4tv09XuwEXljETWE4gPUCFv/0yFXAXj82HjtEYjXrcxtAmViGQKoF6Mgbf9Xp1qjVYYbkdQdpnhZ/N9WPuXmeLTSDdfa5YWb+WHEFyw1ognZ51C1O5YQJ768218j8Mb0x83V3t/F/q5wcelHhdKH4BBJbrYncfMdhmyD0g3f3Avyj3n/Im8i36/igtfy8/Rv5mOQaBHAjcVZXYXv6FHCozRR0skLad4vgSDvUEDVfp7qdvCsVipXSx20rASxyDdGn/RLNAxMohYIF0kn5rLJIyseoaVeRg+eMURXp0JpWiGhkTWE4gOaR/0ZC/Seu/kh8o/4lcFwu1+YLBF5APkXtQ+7PkGARyIOAf8mP1R3VODpWZog4IpMWwLJBiOw/cxe4WuuDYeHFxs9pSaASp8thH/wdvnVVrUpnlCFggnbDcQentr45Tmd8gP0y/WdyAS68BiyrxcgJpGMZGenMP+afk/tEeZe4CYAF1r1E72QaBBAlYIB2VYLlXW2QE0mKCMU3xPSidBVIl90OLc7ZSI0huUwRSzmf26Lp5goYMBVJd2f/Uq7spu6sdBoFoCUwjkK5TLS6Xu7vROFtPO3aSnznuALZDIB0C4XYqq6b27n0unTI3VlILJM2cFab5jWgs80gT8hikc+MqW+XyXCrPXSAVGkGqzzYEUlxfupZLU//m3laZZCqQ6q52h6h+j9X/ixyDQJwEprn4cdTIz4D5J/l+I6rjCNM75TeXf2HEfjZBIDUCj1GBf6kb9H9KreANlNcCyZGJGzeQVi5JxBhBMltHkXbPBfKYehBBGgOGzdkR8M0Oj+/OVCC5vapf6OV18ndLJPEfYyRYdASWm8VuYYE9Bum+8h/Kvy3/rdzjlHaQe8Y7L98n15gNDALJE3D3us8mX4uVVcACybat3N0hsF7PAunnEYIoQSCVHEFao3OOMUgRfvFaKtLeSlfXVdWfW0o/lmRfo4IcKHdXuyfGUijKAYEBgWkF0q/0wTvJPyjfX34/+cBO18oL5W8bbGAJgXQJhJ1U9jvKn5ZuHVZVcnfrsXF3b46DX93FLkaxaIGU+7hPIkg+A7ESCFggZRw9GjShZ+gLB+vdT7V8vAShx7djEIiGwLQCyQX3LE4Pk3u80R7ym8l/LfeDJTEI5ELA3etO1o/2b3Kp0HT1cD/xcLE+4wgSNkfAEaTIxiDVBbNAevpcEXN8rcdk+Fl7jqSUaL5ZsWOJFS+0zoUIJLdupZvu4bVaURQpfEfvz/NWDAIxEJhmDNLC8npMkrvYfUuOOFpIh/epE3i0KvCZ1CuxyvJfoM8jkGqI9QODzSLGCJKEvCfPCZvWRc3vxdEjj4ezYC/RLJC2LrHihda5IIFUt7DHInlir3cX2t5UO1ICqxFIkVaJYkFgtQSCu1LdQ17q+KMBQATSgMScUNxAb2MUSI4gWUDsNl/crNZu1K9NyREkBFJWp/S4ygRPzrCrvIAudgMG9cNwD9G7v9VNHsYiDbCw7JwAAqnzJqAAERLQD3XdlfRnEZZtlkVCIM3Tdvc6W4Rd7OpuKY6u7F6XML8XR5BsRJDmOPCaL4Hbqmq+Ljsx3yqOqll1vLZ60oZ3SiQNfmtHHcg2CMyMAAJpZqjJKCECHn+k6FEVEipzG0VFIM1T9Z+2z4cL5zdFteYoUs4RJLPXzF5FmrvYbVlkzcurtLvX/UX/PW7z0sxd7Txz32GlVZz6xkkAgRRnu1CqzggE362+n/yozooQT8YIpPm2cLdLjbWs/MDsGM0CKecI0qVif0OM4GdQJl8s6zmDwRNVYHkTsEAqqHvdcGPWv62HaMsjda4fNLyHdQh0QQCB1AV18oyZgH6ce5fJvxdzIWdUNgTSPGhHkCLsXre2gDkLJI9BKnX8kRt4EE1gHNLa0z3bFQukwrrXDbdl5RmR/1P+Dokk35TCINAZAQRSZ+jJOFIC7l53dMSRglliU8SE5yD1gVsgxThBw+B8yFkgOapb6vgjty8CaXCW578sOIK0tnHfoLXT5e9Zu4UVCHRAAIHUAXSyjJVAPYPQQ1S60mevGzQQEaQBiXgfEjsooQXSzXXXdbPBhoyWpUeQBmOviCBldFIvrkrYVtv8XMlCu9gNiNRd7fwA2Yfr9+wpg60sITBrAgikWRMnv5gJWBzZjplbFP9qgeSLU6zXi72LnZ+FZMtxHFLhEaT6gtERNL6L9Sme7cs+qpmfL3lStjWcuGKVuxm+Sv52iSSLRllYb87n3vEKgbYJIJDaJkz6KRF4tAr7ZXWvuyqlQrdYVgukDfWn5AvU0i3yLnaV28pdsXIUSKVHkPzdc9sSQTKJfG1vVe0P+v+5Ot8qTlWzN+noU+X6Tw7HaXnNnHs9OMKEQaBVAgikVvGSeDoEwvoq6wHyo9Ipc+slvaCfg7t+lG6RC6S6eXIdh2SB7ghKyYZAyr/191IVC+9eN9zIdeT0TG25g1xTn/ce0PevafkuiaQPaolBoDUCCKTW0JJwYgT2V3k9fkN3q7A+AQTS/KngGZVinsXOJbVAyvFZSESQiCD5/M7d9lYFEUhrWzk8W6sWRe+Q31v+e0XXviN/af/94ySSfAwGgVYIIJBawUqiCRLw7HXf1I9v6Xeqh5quulxvrpUXHkEKG4nB5vKYZ7FT8WqBlGMXOyJICCSf3xlbqFS528kRSPOt/M9afaP8xXKPsXyfvG/VL7XifT4Gg0ArBBBIrWAl0bQI1H9OB6rMzF63uOHO06bCBZJnh6sNgdQHMeMFEaS550AxBmnGJ94Ms9tJeW0hL/gZSMO0g8913+z5om5aeuKKQ+QPUsTorXIvb6z3X5LrmPpYrWIQaJaAx11gECidwN0FwF2oPl86iBH1dze70gWSxx/ZUhBIOo+DLrSqS+eKnMUrEaS5CNJts2hNKjGKgLvXOWLvSQmwXk8z1tXmHgyy6rf6XXuWVl4kf55ckwf1zpbbXqJ9P9DyFzrurHrLil6CAwZPkh8k30XucX9fl79D6Xq9YQv3VYIPllsMut0/rXxO07Jhqx9f8lgleqd+wsdp+RnldWXDGWWXXIkRJJ+MO8n3kO8g97gTrGwC7l6nH9jK0RJsXQI8LHZuim9dvNRdDtelE9e7XKf6tkBaExfqmZfGF2j+78LyJGCB9Bv9xoQ8qzdtrSr/75wpv9/8J6uPis++er+F3Bf735FfJrfQOFKu48M5co0jDq+RSxSEnbV9Agub6qCvyN2N7y/yd8nV5b73VLnF2R21bMjCNkrPwusb8nvKt5UfKv+Dtv+7lg1auJcS+6P8bXKLPrvXtS04bwwCPZ/cH5D7DrB/gBb6Kdr2Xvl28i7Md0ZcphbFmu8iBP241K51bJ5AOFlcXjj/nrV5AuFTYuM/i4It6M8rJHJnN+jCIjwxn8aqf7f02xjulk+dVlKT8A9icNJKPslnUiAQPqH29TUKtpaAxUJQlCjcYu2mtSveVoshHWOrn5F0Oy2fJv9v+XflF8v923GhXGInvFn+ZPlt5H8z97nBazhC2/Qbv1BQhQ207X/kFl8WZqs05+toV/iVfLd1EwuP07bL5S9ed/tK39X1vFTpvVtuAdg3r4fD5N4nFo3ahkrN17L7NZoqibVG4D+UshvMfrr8h3L1a+3pB6m+Y/ATLR2q9X7ftdAXaObWokCqvwy6Y1B/8VTH+gfDX0JvG/rSzLzOkWQY9ukz2SmSAkVWjPAe8fF3pWAL/yYGP04DQPiRytq/aEijxEuXMty8//10xL9gC+r64wtCLE8C4Tdq3xfkWbeV1iroYjt8S25x4ptUO/Td697mfb4gH2MeW2wREp4gf4NcUZtwntzXQYo81ULl7Vr+s/wG+f1GJ+RJeoKuHX3caq0WaJcore1Hp1TX02XbevT+abaGo5TOV8Z/wvt8TKOWlUBav1E08SX2eBXpVfKvyl8mVx/VkaYvUj2N5Fu0/F/5aXILqdXYTfXhDSZMwIOQW7CwsRJ1mNhlOUT+NbntIfI3yu+qL4h+FIp+MOpjxMF9l0/TEltM4AJt2nXx5qK23ES1PTeRGqvrRFYPi92qz113g4u2i1T7Bi6aimYYaeXri/xbq3AnRFrAjopVXaPrk4cqc9/k/i/54f2C+LugqEjv1frf1jHjrO6ueLL22o+cPyrsqPV9h/ypWvc1oAWD28DXiYrw1N16JZx618t/LT9I+/+gpbcNti+3vvC4p+mzvg5zFGfnobS0Wts39Xqd/Ina/6W5TWNffVN/nPna8+HyZyidWwwd9NchZrpJ7nHXPv+W4jj0aVazImCxc4pcdwAmMv8BSd33dNd8VebQqU/eaX2zVeW66MPhP1WEP8t9gbfAvK3ep2NKtnC8OFg8YyMJONwfxt1YGPmJ/DYG/Y6E96dRr/BylfXYNMo6SSnD3VUf3/H1zZ6CLdy1z0EXVlheBMLt+227XV71arI2fpB72L3vDd/YD/+odB3BkxgLL5V/Wi4hFM6SnyN31Oly+bVyXR/W0acrtLy6v+16Lf0blYK/ab5VgkR5Xeabz29b9ZrEVn3du9+qU4oggYZPtAhqtG4R9tHbH8l1Ik9kvjPhOwU7THT0+IN8x+JW8g3GH7LOHt0t6L12nS2rflNPXf0sJfMK3R3QXYOF5m0eyNh7pZb/oWP05S7Nwq6qsc+Rg0qr+RT1dQRp2ymOz/FQR2DdFTcF+6MKqT/8bGwr1UR3iYuOcrsx/d9k8008XZxhGRHYS3VRhJpJgsa3aeWoin/b2jCnu4v8WLWBexuNsLor2oXa/4wRO/ub6nFNf6M368m9HPjw+yO0/VL5v8iHt+ttbf7Mz+X/Lv9yvWX8i6Ne48xCRTd/e74G/MHQQWcOre+k9Wvl/o/HCiTwddX5JPkGE9Z9EEHSYL6Zmk9iC5QGI0h1hEhphtvO16QewPh6bdtkbpv31XcQCr1zFf6P6v+7eT6sLSYQHilG6hNdsgXdNAn/lAaBcKf+d9rCIgPzhBMhle6NLfL2c1/q32pfTGNZEajHxxyTVZWSqkw9xujP+n69cXSxPUFMkECrp+UefcjEW8NTlc7F8puN/kg4WPscrdpm9P5ptoajlc4Xxn/C+3xMo5ZVBKlRMhEm9hSVycLDJ4FO8rFmJX5v+U/kvlNxT/ksrQ2BpAuk+g9VF0wDC/fQNv8QnCzfX57ZxdSgnpMuww/FQIIRG08gKFRen0eTdlMdn1Sye+puFk9Ko/hh8L2/cxrlXa6U4e91/qm7S+lWz6blG17+n8KyIuCxJp55DeuOQHiY2kDRlHoGvG3nylF/59S7pJ4F733NlK2ebU+9msJx8p3WTTMcqG26GRn+77rbV/ou6GZKLbb+n5ZD/9+1IPQ2C7HbrTT1MZ9DII0BE+NmC58XyXUi1ELpL1r+WK4fpN7H+0udrL2z5BZS+oL0XiCftbUgkFyF8Fv5q9etTNhS294jd79Zf0kdYSvQ6tmxNIAy3KXAyk9R5brfty/MdpjiQxkdWs+E5D/O+6dTKUdcQibdRoO6ooSfpsO+zZLW4x8e1WYOpN0FgXCGzvFDu8iZPIcJhAepHU6VO1rkG8kWEFfIXyH/m+EjV7deR4O/pTSvlh8j/x+5usPVAu1Vq0t74ac9CVd9g8//CUf23eseW6V9jRsCqXGk7Se4i7KwIDpTbiE07BZPf5T/l3xHeRfWlkA6WFX1F1yRo4UWnqvtFknqVxsK/NOtnyviH0GLaGwsgfqhdvq+eDr0Ei1sp7q7/k3faWsRpidp8LjCHCy8VnXRRQQmDqfL/w4SORFYG/HlRl0UzVpHeNzTxl3hHiFXRL4tCw9U+m+Sv1/+b/Ld2skpbK60nyF/d9+9rm2tGAKpFayzS3RLZWUhtLu8xZN/qgq1JJBchvAO+VX95QFa2gfb/IV5o9x3TD4hv8lUpU764PqZCG9PugozKXz9h3GDzo027jbNpAary8TCqBZIEkqpWPiQyvzRVEq7dDn9kGI/rBgTB009zLNy8joTwr3Upr5RuWle9aI2hRLISiA1GDZM5nS4RCVV5KCOGmmwXO5W/aNq+GT53vKP9d3r2lYpilS9ROt3le8h/61+qHXnJHerH8K2v2p5VO41XX39Kv159xRlLHYmO980kECsGWiRhDki7htAOZhvYhXwOz1RU12ko7ae6EgOSoWAxon0TtX/8BWpFJhyQqAUAuuXUtGy61l9VvW3j7HqFxJGDvH/i/wDWregeo5+tM8Y84HUNz9SFbBQ/l7qFZlR+S9QPv2BqzPKMZ5sbqqinKfvgoViKmaB1FJ3jZkjuJFy/N3Mc40zQwRSnO2ymlL5ZuUJq0mAz0IAAu0QKDGC1A7J5FP1cwaq16kat5dvKf+NhNLz5DmO0XmM6nd0Yhe9KnJnVrJAcgTpr52RX1nGFkgStHWkdGUpxPMpIkjzbYFAmmeRyxoCKZeWpB7ZEUAgZdekq61Q9XulcG+5Bg323iD/vi603P0uE6v7ej9ElVkiopZJVZurBgKpOZazSOnkfiY5dLNzBGnNLKAlkIc50MUugYaaoojuYnfiFMdzKAQgMCMCCKQZgU4rm0qzdlXvVJk1QL1+6vPxEkkvlefQJfOhqpO7S31Djk1G4HwdduPJDs3uKHexSyyCVF2qMp8jz0EgEUGa/0oRQZpnkcFauIUqYcFLF7sMWpMq5EcAgZRfmzZYI49Bqh6mBD3L3ovlP5NI2rfBDLpIyt3rvqx6aWY/bEICpUeQ9NyI5CyXiRqIIM2fegikeRY5rLl7nZ6FU08YlUN9qAMEsiKAQMqqOduqTOUpg28rd/e7n0okqetd2Lit3NpL10/G7j1CflR7eWSZcukCKbEIUn0Ouptd4hGk+uGMm6seF2f5rZq+Ugik6ZnF/AkLpN8yFjbmJqJsJRNAIJXc+lPVvdJFYvUkfcQRmKfKfy2RdJ+pkuj+4PurCJvKFUHCpiBQskBKsItd3bI5RJC2Uk08SQxjkOa+rAikOQ65vFog0b0ul9akHtkRQCBl16RtV6g6Wjl4bNJ35N+WSDpM7lnvZGET+b/KLZ40DiLoeVPhcPmuc/s7f320SqCxR9UlnZckrQKULJA8i12qXexSn+rbAslGBGmOgwWSIvfBD2PE0ifgCRoQSOm3IzWAAARaJOAxPpoYobdZi3m0kHTYX8XWnepaCB2k5a/kZ8otkh4pP1T+XbnF0gNbKMAUSbq7Tjhb/owpPsShNYG6na8TuxynfF+ijWvBr+9luOsSB0W6K9xe5XbZt420gBMUK9yhXwePQ8Lq2UTrNr05MFIn4AmPgsbBBs+oikEgFwK+eeNr2f1yqRD16J5AogLJ4OqLyDdreYNckYYwYtxD8H51kwm+G9+RhXsqf81eF7brqAAJZxvUFST1i+2V4A879+u900o+3e1ngm621G12927LsZrcw31VB/+u0NOhxujfz7pNb7saqnw2BgJhz35bbh9DaSgDBBoikJVA4o+nobOi3GSqK1X3I+SOLng66B/qh//JWg7bS/RG0Zvec4Y3znj9Mcrv+yrmeTPON4fs3MXOlnA0Yq4CU74OBH2C50x1uep6lnzEDYspKXR3uCNHij5XEkmYCAy6Gm4NjeQJ6KZTT10mK39HMQhAIEICCKQIGyXBIik60/uT3H2q3yaXYApfkvefnVNf4Hjsko/ryh6tjI/qKvPE8x0IpNKehWSBdJkuYiw2UjR1f01aIG2l8g9EQYr8Gy5zdbUS9LmIQGqYbAfJWSCd0EG+ZAkBCExIAIE0ISgOW5LARtp7hS4kr5W/Rut3lO8g/4pE0hZa2rS/5+M6MI9l6Km7FAJpZfDXXpiVFkG6qXilOMX3oJlTn+rbESR1zcWGCCjq0JVACpvr91yONUAAgdQARJKAQJsEEEht0i0n7d+oqnsMRYxO0vsHyT27naI29axLjh75uC7M3euOk3g7o4vMM8nT3SdLE0iOIKU4g93glCOCNCCRz9ICycJxRlZPbvM8/Yb/Xhmqu6Pd68HbuH5YeSsgkFbOjk9CYCYE+IGbCebsM9HYnt4p8jfP17Qe6/Ngvb+N/Jtyz2J3uLwLc/e6z3aRcUZ5XqC6lCiQUo4gWSDtlvA5SARpcePNMIJUC6BPqAivlX9Yfpe+e93btA+RJA5TmidQqXs0nDDlBzkcAhCYIQFNNYlBYLUEKs8O93dK5VtabqHlq+WOFrnP/JHyF8odwfmFljO2elY9j41SJAtbBQEE0irgdfRRC6St9J1UJMwPek7OVHbGIC1otRkKpN7zlbd7Auyn88e9Agb2c51Tn9ObY+U+5u2DHSwnInA7HeVJjU6c6GgOggAEOiFABKkT7DlmWv1UtXI3OndLOl6u5+bUM9c9UUvfbbyt/lS9nLU5eqQuIev8wc+6DDnkV6JA8hiklLvYeQySn0mRahSJCNLiX45ZCiTf2HrD6N/O6rdz+3ovWFxEtixDYG/tP11cL1nmOHZDAAIdEkAgdQg/v6wrCaPqPqrXjnIv95lbr16upccB/V9dr/lPd5bmfD8zywwzzatEgWSxn2LkpX8K1lPwn6k3uyd6ThJBWtxwa7Rp68Wbm94StlGKO8u/Op9yeJh+vx8x/77et4u2+VhscgIWSHSvm5wXR0KgEwJ0sesEe+6ZVn9RDe1DVn1Nf6QHa8NHtdTFdqVl2xZ2UA53lbsbCLY6AhZI7hpSkiUukOqmcje7VAUSEaTF37ZZRZDcBcx2w9yiHmv0Lq1rqv+wl36/z5jfV3cXmzuM10kIWCD9ZJIDOQYCEOiOABGk7tgXmHP1cVXaEaQj9Cc7fCeyLRYHKmEJtUp95rFVEjhfny9okob6gtDPfUo4glS3eMoCiQjS4i/tjARS5RsiFkEP7BdB0aP60Q2/0/ID/W3ep2PqY/ubWExAwAKJ8UcTgOIQCHRJAIHUJf0i867eqWp7LNKnJJI8ZqlNc/e6o9rMoKC0fcFkwVCKua7+fUx5DJLbKmWBRATJLbiuzUgg1Zn6t/ql+p3eRcvnyfWb3XuK/F7a9q9avkzuY7CJCQSPa9xOThe7iZlxIAQgUDKBZ6nyHky9WTkQgrprBP3ZB99Na8HcLz5cK9+/hcQLTDI8RCyvKKfi7kYU9J0MiYvCoChquCTNdguaBdPnHTZPwJH3cPn8+zbXwnrK60ty3RwJnqlUE+4EP+9Oj0yo339TSx2DTU4gKOoWrpFvMPlnOBICyRDYUCX1taxmvkzfiCCl34ap1uAfVXCNS7IHDwZu2h6lBNfIv990woWm5wjSJmqrzQupv+/0evzFhYnX1xGkLdRuN0urHkHnWs9/tv4OY/MEHEHaVO25/vymttb8+Ibe38pPlHvdz0RyF7u7yf8s14V+fYxWsQkJ7K3jfi9uunmHQQACMRNAIMXcOlmXrfLF59Pk7mrwdf3h+4K0SfP03kfzB94YUgskWynjkPoTNNTn6VzN03w9RcX2Hb3UJmrYqo/74jSxt1ZqCyTbrL6HFmKKpvaeK9++77fQ0pG9/XVqPV1LbHICZkn3usl5cSQEOiOAQOoMPRn376J5nJAvvr+qP9stm6FSP6n8wUpLXUGwhggUKpAaotdZMtVVytp3+3frrAgry9jjj2xEkOY4DF4HAmkGU33XWR6kV18nfEy/12f3XYK7UhSk93L5W/W7beGEjSUQbiNGb5cfq0MeL7+V1rUNgwAEYiaAQIq5dYooW+X+9OpXX3en+YL+ODZuoNqeccldGL7RQFokMUfgUi3czWZWd6675u6IZuoz2A0YupsdEaQBjbSXg4jarASSI0cflCAaNf7wv7XPQum9aSNts/Th2UrdEaM7yHUTsLeR3NFRbQt/ryUGAQhAAAJLEHiW9rkbTEGTNCykEdRtI5wu/5x8lQN/g+52BveXxxolEM4R1yc1mmS0iYUPqK7/E23xpipYOEx1+dRUH+n84HpSkKs7L0aUBfBkKeHh7Rct3FX5qCt0WEJchz21X1HK4O7S2DoEwgPE5Tr5oXObg6K49cQvO81tq/fpGAwC2RDYUDXxtex+OdSICFIOrZhFHeqHyz5YVbmnXBenK7XgL6gjUketNAU+N5bA+dqT+KxuY+u2cEd/DNLCzUm+TzWCNIiWJAm9xUK7m90sIkjPUz7HKHrk82eMVSdpxyvlb9N10c3GHFTq5ler4oeLn577V5snaHAkXjcC623a1/MxGAQgECEBBFKEjVJukep+7e4e91j92b55hRx8R87dGL68ws/zsfEEPA5p2/G7s9qTWxe7FMcgMf5o9FdqBgIp+Hv+BPm7Rhdhna3+rT5F/p51thb9ph4H67voHx3CYIGkGQEr32G3eZ+OCZvW73iBAASiIoBAiqo5KIz+PH4uCo+W/6P+OP5lBUQ86cM3lI7v1GHNEihJIDmCdG6z+DpL7WTlvJm+TykNpvc4DSJIo08ZC6Qbjd7V2NZnKiWf/19cPsV6qm/PZqebW+HJyx9fxBFbqJaV/Lyh2u6r9V8Mvfc+H9PQ5ERDKbMKAQismgACadUISaB5AtU3leZT5K/TH+6hk6cffD4/Sv7ZyT/DkVMQKEkgbScuuUzS4Lv7nlZ/ibEkU5wFsznUAoAI0mjWLUeQ6t9RTy6giNCk09xXflbSq+Werc3R19LN4ucS+e2HQOysdX8XB+Z9PmZYRA32sYQABDomgEDquAHIfhyB6jPa4xmU3qs/3APHHbVg+7303l1Djl6wnbfNEChEINXdYzYTskwEUnWN6nKGPCWBtJXKSwRJEEZYywKp93Dl6Wjj4SPyXmrTG7XzdPm7lzqojH11VO2Tquu/6f/LXb5tt5Sbj6zepn09HVMfW2/lBQIQiIcAAimetqAkiwhU79OmV8g/rj+U/RftXrzBXfO+rz8cTyaANU+gEIHUG9wBP7d5hJ2l6IH2KY1DIoI0/lRpWyA9T1l/Sr+jU0Y2quv0uafLD9Dv9RPHF7+YPf+umvqG3VfEww+I9TmtGxVhj7lt9T4fg0EAAhESQCBF2CgUaZhApW529eDfz+uP5Y7De0asWyAdNWI7m5ohUIpA8vgjW05C2wKJCFLdrMm/tCiQwq6i8xD5JJMzjABZ/VobXyN/p36v3U21YKscgXavhkp+Qh+Eu3//rr9N++pj+rtYQAACMRFAIMXUGpRlHIEXa4cEkh+0N+6ZHGFf7b+VHIEkCC1ZSQJJk3yMfDhmS2hbTzY1gUQEafwpsUa7th6/e1V7/kGf/pXO/R+vIpXX67NnylcoslaRc3QfrRQxqu6nYjkqd738lfLbz23zPgwCEIiVAAIp1pahXEME6mlRD9WGn8m/LpHk/vEL7THaoBnwqj8v3MH7xgg4orKF+K/XWIpxJuQudpmMP1oLuN/FLvhudgq2lQp5cQoF7aCMLUWQwiaqi7vIrVLYVNcqjUPkiuiHx2qJCYQgaIIGP/+ojrLBBAIQiJwAAinyBqJ4AwJ1//bH691f5F/T/80+8sPk+tMJF2qbo0y6qA0ba4m1Q8ARJF9g5951JqcpvgdnggWSL4B3GGyIfEkEaXwDtSSQegcpS3+/PzY+60n3VIpC9RxJ0oQN9TOVJv1grscNTdCQaxWpFwTyIoBAyqs9M69NdaUqeIDcF3rHye8of7P85XJvu6v8B/pDbqv7iZIv2iyQbB54nLNZIOUWQfqT6uQuPqmMQyKCNP4bZoG0uX7nmo7kPlfpflAayb+zTZjHIp0r13ik4s0C6YziKQAAAgkRQCAl1FgUtSawvl59gX653JGjw+Vbyk+S7ynfQP4BOdY8AY99sOUukG6qOmYmkOpuT6erXgkIpPo5PFuorIPzTavYEAELJNs2c4smXsPdlIrHcR7WRGpzadTTy7vL3uMk5g5sLt0kU/L4WARSkk1HoUslgEAqteXTrfdzVHRfvN5F7j/0D8ndz/0o3fn0GBn/IT9Gf8ieShVrlEB9ke2L1twFUo5d7Hwm9MchNXpStJGYb3i4qxdjkEbTHQikJiPlnkRA4zurk0dnudKtlSP9b5JLeIUGBd1Ky9PZ5+hi1xl6MobAygggkFbGjU91R+Deyvrz+iP3xZ6no32E/E7yz8pl1S/0cprc06tizRNwN7sSBFJmEaT6RPB3JoEIUv28GBeYCFLdbIteGhZI4cbK4Qnydy3KqZkNr1YyF8rf1kxyqaVSR0QdlSaClFrTUd6iCSCQim7+JCvvSRgumyt5dbyWB8g/KWHkO5UDc/c7JmsY0Gh2WYJA8sUMAqnZ82aa1LbqH3zxNB8q59h6jNDVqu/WDdX5mUrnbPmXGkpvQTKVy3qIXJNABP9el2Y7qsIbyhFIpbU89U2aAAIp6eYrsvC/Va3vMV/z6vsSR0+af1/PmHRrvfdxWPMEMhdI9d1edwXy4PLczBGkXXWR6u5rMduNVDhPi4xAGt9KjiI1IJDq8/3ZSus9+h29YXx2q91T+REN/zWXT3D7lmTuXmezCMUgAIFECCCQEmkoirmWgCdleLCunx6ydsu6K2/Q29PkEk5YCwQ8zstdcnK17VQx/y7mGkFyZNV3tGM2R5AUJW7zgj3m6k9UtoYEUt1F+ebK0b+rbdsrlcEl8v/XdkaRpe8JGiSOsnrwdGSIKQ4EmieAQGqeKSm2SqD6uZJ/vfwoiaQXy/vjYYJmsAsf1/anyA/Wn9F1WmLNE8g8gtRz9zpbjgLpNNXL34vYxyE5wrBGjo0n0JRA8uQMR+r30jc+WrbqKmXgSXSeqt/qh7ecWUzJM0FDTK1BWSAwIQEE0oSgOCwmAtXLVJoXyV8i1x97uFZLd6nbWa7JGaofaYm1QyB3gXQTYbte7kHlmVl90+A0VSp2geQIEt3rlj77LJBW2VUt7KY0FI1vbXKGETWofqyNjiC9T7/bbucSzALpjBIqSh0hkBMBBFJOrVlUXar3qrrbyz2D3UPlu0gY3V3uWeyw9giUIJAUPao8BiZH8zik2AUSEaTlz7wmIkj/oGx+qXP9J8tn1+gRL1dqnkjnrY2mGm9i7mKHQIq3fSgZBEYSQCCNxMLGNAhUutNvQVR9U/6nNMqcfCkLEUjJt9O4CqQgkBxZIII0rgXntq9SIIVNlIy7u71r6Wza2FvPwneoUj5EUaSHtJFDZGnSxS6yBqE4EJiEAAJpEkocAwEIDAhYIK2ya88gqSiXHoN0bpQla6ZQFkjuWhWzEUFavnVWKZB6T+5n4XGbHVh1rDJ9u/z9EklbdlCAWWbpSTCIIM2SOHlBoAECCKQGIJIEBAoiYIG0gS5qchVJHoOU4wQNg1PUAslTfcf8208EadBa45erFUjPVdJHKPJ+5fgsWt/zMuVwtfzNrefUWQbBjwzwdOwIpM7agIwhsDICMf9JrqxGfAoC/7+9OwGb5KrrPd6VmcmegWyQVSbDEpYshIQlIBKWIIsGLhIeMSoRAgGuGyLxiqAIKFfixQXZQ8AAAUSicCEshk0wQtiUJbJOhjerREP2ZSYz5e/Xy7z19nT3W71U1Tmnvud5/m93V1dX1fmcmp7+9zl1GoEqBZwgufRnD+w9SOhvGxIk/2ilh/2EWuhBWr1lrtcq/uA9Q8l1rWbnOMWbZnjxAl/Snfb6Odqgfqg2f9wCNxzSpgb/zn4U0kFxLAggsLoACdLqRqyBAALLAoPpgFP9LSQPsUu5B8kf1LYqQp6ogR6k5X9v4+7N04Pkqb0/od6jH47beH3Ls3/Wvnwd1DlKkvaub7+17ckTNKiXLHN7URBAICIBEqSIGotDRaB5ge6QHA+LSbkHKeFrkDyxSWeTIuQEiR6k1f+h+wP3Pkoq1qy+anGN3D+EfKqigckZisex4v7v65HPy9euWJrGA/cg/SCNqlALBNolsLZd1aW2CCCwAIFrtY1UEyR/gEy5B8nN7w9sISdI9CC5lSYXJ0iZwsnkYNjr5Ff0ntVwts7VigvLrFzPOtktSvR8XBfp1u8txyg2KlzHTyqUzGWxzmroBGlJQUEAgcgE6EGKrME4XAQCEPAHsgQTpFzfyHf2VKSeIHmihtATJF9jQxkv4OTBZYrrkLoTc5yp1+jao2x799Xh/PEPyF6ueJnCbf92xb8ofI3SpUqcjtVtjIXfQIqx1ThmBCRAgsRpgAAC0wokmiB1PEGDS8JD7Lr1CzhBynfXEe6miLXHoAtcw58ZEqTOz+m4DlKcW8PxTbsLT/ntHrGrFDfrrh5nnuXuforPKz6iJCnGa5Tcg8QEDUKgIBCbAAlSbC3G8SLQvEDqCZKH+aRcnCAdoQ+cU16/UguJh4y50IPUcxjz18PSupNtTNGD1PHkDO9X4jGYaGXMtutenLuX5dmKZylOV7xQ5+bP6FYl26I/pytyxfMUsRUnSEuxHTTHiwAC9CBxDiCAwPQCqSZInsHuRn0ou316kqhe4QRpncIfTEMrd+kfED1Iq7eMe5FKJki5h1SerND1PMGVk3RE1+jf3WcVn9L9cxTq5co93FWl++/xAt15TPdhNH+6X0C4V5oepGjajANFYFmAHqRlC+4hgEA5gVQTJH+YSX14nVvY32j7m3l/aA6t0INUvkWmSJA6L9Bmv6pk45Lym69tzfXak99TBuUluuN/i08YLNCtn/d6MZUNOlj30tKDFFOrcawI9AVIkDgVEEBgWgEP0Unxd5D8oSz1CRpUxe4F+j/UnRATJPcgbdUx3qZbymSBkglStyfm17SpN07eXGPP9mdVHFxjlKkXt/NdRfH8PE6PvV5MxT20Hhqo3jEKAgjEJkCCFFuLcbwINC+Qag9S6j8SWzxzPMyu+AG0+FyT992DxPVH5VqgZILU+SVtbrvifeU2W/tan9Yer1O8tLBnJ/D37D3OH6zbUxTv6j2O5q+vP7pcyb57aykIIBCZAAlSZA3G4SIQgECqCVJbhtj5FOp/ax/A2bTyENyDxPVHK03GPXKCNBiSOG4dL9ekB76mJ9Reucw/PO0JGM5Sh8trFb6uygnSRt0/VbcfU5yn4/+MbmMqTpCWYjpgjhUBBJYFSJCWLbiHAALlBJwg7aEPL56OOaXSkiF23SajByn+M7dED1J+oqr5QMWbwq5u9lEd388rnqHwMFcnTI9WuNfIx/5cRWzFQ+xIkGJrNY4Xgb4ACRKnAgIITCvgBMnlwN5NMn/bliBtUJK7NrDWowepfIOUSJC6U3t/XL0vm8pvtqk1M/cU3UvxWIVnsvP1O4fr2F+u2Kb7sRX3IDGDXWytxvEi0BcgQeJUQACBaQUGCdL+074w8PXvruNrwyx2bgb3IDk52qAIqXANUvnWWCVByv0FhoeovaH8JpteM7tTydA/6yjeqFijKDOEsOmDHrd/htiNk2E5AhEIkCBF0EgcIgKBCfgake2KhBKk7m+W+NqHFsxi1z2bdPF4x7/3FNpEDfQgdZun1J9VEqTusLQrtSX3zMRWfNy+NumesR144XgP0f2lwmPuIoBARAIkSBE1FoeKQBgC3WmiPetUQglSd7ig3w9bkiBlHr7kC+FDS5DoQVKjlCzXaz0n9SNKN+E/U0/o+p3uv9cR64S8qHvMl+kII02Qcg/X3VvBELuQTzOODYEJAiRIE3B4CgEExgqk9ltIHl7n0pIEqVvXECdqoAep2zSl/rgHST+emo/6f/zn9Jw/pJ9bakthruQEPtIEqeMJGlyu6t3wFwEEYhMY9cYaWx04XgQQqF/A1yGl1IPkD5O6/qHjD51tKSEmSPQglT/7fK76/3AnlcPlf2vB+9V7NLhecPj5GB7HnCD5+iO1T9am95MYzimOEYHSAiRIpalYEQEECgIpJkjqPeoOPStUM+m7If4Wkj/s+xo3yuoCgw/fQ8Ps8vvopY9TRDQ5w8jKxp4gLY2sFQsRQCAKARKkKJqJg0QgOIHUEiQPsWvT8DqfUO5B0lCgfJ0fBFLoQSrfEGMSpM4LtImvKNn/cvlNBbmmE6SNOj+zII9u8kF5iB0J0mQjnkUgaAESpKCbh4NDIFiB1BIkD7FryxTfg5PKCdIahT6EhlC619LsoyOhB6lUc2Q3aTUPCy30IOV76vHpijcqYi9OkPZQHBxhRTzEjgkaImw4DhmBgQAJ0kCCWwQQmEYgxQSpbT1Inkr5NoV/nDOEogkHOu4t8OxslHICwzPZnaaXbVO8r9zLg17Ls9jlihgnanCCRA9S0KcXB4fAZAESpMk+PIsAAqMFUkuQWjjErnu9VUjXIfn6Ixd6kHoOZf56mF2hB6nzQj3WzHWZf+Mq8pL5d5CuUMSYIDHELvKzj8NHgASJcwABBGYRSC1BauMQO7d7SDPZ+fojF3qQeg5l/hYSpPzhesExijeXeWEk60Q4UUO+q2w9wydD7CI5yThMBEYJkCCNUmEZAgisJuDfQdI3/iN/g2W114b4vBOktg2xczuElCC5B8lDqm70gVFKCRQSpI6n9v64eo82lXplHCtFmCB1r+nzUFGG2MVxjnGUCIwUIEEaycJCBBBYRcA9SH7/SOW3kA5UXUiQVmn0ip92D9LN+oDva2go5QTk1dH1Lvlhun26IvapvYdrHWOC5OuPfA63bdKX4bbjMQJRC5AgRd18HDwCjQk4QXJJIEHKPTmAZ8tq4wcaX4PkD9geFtR0cQ8S1x+VaoX88WqzS7TqLyieqXCv0RbFtxQpFSdIGyOrkBMkDa8j0Y+s3ThcBFYIkCCt4OABAgiUFPDQHpcEEqSOh9e5tLUHyf8PhHAhvHuQuP7IZ+LEkp+ppy9UOEF6h+Jihd087FW/fdT9oVjdTaI48TtAdfKXGLEUJmiIpaU4TgQmCJAgTcDhKQQQGCfQnWHqJj2bQoLkGexcru3dtOlvdpVqe4sihKm+6UFa9dTrJj9/o9Wepx6KX9ftpYqHKPbp3zppercSCl8Dk0JxD5JLCAl870hW/9vvQVp9RdZAAIFwBUiQwm0bjgyB0AVSmcnOPUj6Br6b9IVuXsXxhTLVNz1Iq7eue4/US5Sd21/VPblrFfrdo8wJ/gsVxyucNCVQMtfPEVuCtJQAPlVAoNUCJEitbn4qj8BcAiklSG0cXjdo/FBmsqMHadAi42+P01MXFZ4eDEnsT86QXa7nvqd4UGGd2O/GNlEDQ+xiP+M4fgQkQILEaYAAArMKpJIgtfBHYlc0eSgJEj1IK5pl5IPtWlr8f/vzevwS9R59pbD2Gt33eqmU2BIkzyjIbyClcvZRj9YKFN9oW4tAxRFAYCYBXxSuC6ijLx5iRw9S881ID9LqbeBE6AnLq2U6b7M/X36ceyiaryfTMLxkSkQJUn6o1NcplpLRpyIItFSABKmlDU+1EViAQCo9SE6Q2jjF9+AUcA/S4bqwf/fBgoZu6UFaHf7NWuUBaqvf3nnVbvu9Vcu/oKTpazs/H+2SiBIkT5nfLZ78hIIAAhELkCBF3HgcOgINC6SUILW5B8mTNHjWM/c+NFnoQVpVP9usVZ6jOFtJ0nsUJyuOVfyyll2icO+R76dUnCA5gd81gko5QdJkGZln+KQggEDEAiRIETceh45AwwKpJEgtvwYpu0bnkT/Q3bvh84kepFINkJ2v1R6pOFBxoeLfFH+t+LziBH04T214lxMkf1bZoAi9MEFD6C3E8SFQUsDTg1IQQACBWQRSSZDaPsTObe9epKYTJHqQSv8rzL6oVR+vXhX/H763kqLrS780vhWv1CHfrnAPp2foC7m4B4kJGkJuIY4NgZIC9CCVhGI1BBDYScAJ0r47LY1qQfcDpuvQ5iF2bjFfh+ThWQ2V7vUzu2nnKX/Qr8A2uzPx5EhmWa4/lymaHgJapv2cIKXWg1em3qyDQHICJEjJNSkVQqA2ASdI+lCb71PbHhe/I/ce+fobEqRme5Dce+RyQ++GvwisEPAwuxgSJIbYrWg2HiAQrwAJUrxtx5Ej0LSAEySX/Xs3Uf51guTS5lnsXP+mfwvJ1x+50IPUc+DvSoFYEiSG2K1sNx4hEK0ACVK0TceBI9C4gH8HySXm30JygrQ1/WFK3Xaa9McJ0qHqDdxj0koVPkcPUoW4CWw6ggSp+2/HiT5D7BI44agCAiRInAMIIDCjQHazXqjkIuoepJbPYLej6Z0geahhU9ch+YOlzqXs1h1HxB0ElgWcIB2hBN7naKhlMATwR6EeIMeFAALlBUiQyluxJgII7CzgXqTYh9i1fXidmjDTb7d0r/9paiY7ZrDb+d8WS5YFnCC5d/Pg5UXB3fPwOn9hNOhZD+4AOSAEECgvQIJU3oo1EUBgZwFfhxR7gtT2CRoGrdrkVN/uOojL6gAAOURJREFUQeL6o0FLcDsssFkLtisGvTTDz4fw2BM0aLa97qx7IRwPx4AAAnMIkCDNgcdLEUCgQ4KUzkngYXb0IKXTngnVJLtDlfHvIYWcIDFBQ0JnHFVBgASJcwABBOYRiD1B8jVIDLHrnQFOkJq8BokepHn+Jab/2tAnanCCtJR+M1BDBNohQILUjnamlghUJRB7guRZ7Bhi1zs76EGq6l8J212EQOgJEr+BtIhWZhsIBCJAghRIQ3AYCEQqQIIUacONOGwnSIdoprC9RjxX9SKuQapaOP7th54gMcQu/nOMGiCwQ4AEaQcFdxBAYAYBz9gU++8g0YPUa3gnSC5NDLNjFruePX/HCwScIOX+LHWQYmn84fMMAgjEJECCFFNrcawIhCcQcQ9S7g/luym4Bql7XmVuy58ompiogR6kbhvwZ4KAEyTNmNn9dzthtUaeOlx7XafgN5Aa4WenCCxegARp8aZsEYE2CUScIHV8/ZELPUg9B/9taqpvepCW24B7owWcILmEOJOdh9e5XNW74S8CCMQuQIIUewty/Ag0K+AEaW99q+tvT2MrnsHOxT+SSukJNDVRAz1InIGrCGSe5fA6RYgJkidouFq/gXT7KpXgaQQQiESABCmShuIwEQhUwAmSS4zXIbkHSUPKsi3dGvDHAk0lSPQgcf6VEQj1OiQmaCjTeqyDQEQCJEgRNRaHikCAAoMESdcGRFeY4nvnJnOCVPMkDXmmfa5XuIeAgsAkgZATpKVJB85zCCAQlwAJUlztxdEiEJqAL+rPFTEmSB5ix/VHK88oJ0iajSvfZ+XiSh85OXKSdEOle2HjKQiEmiDxG0gpnF3UAYGCAAlSAYO7CCAwrUC2Ta/wN/8xJkjuQWIGu5VN7gTJpc5eJF9/5EIPUs+Bv+MFQk2QGGI3vs14BoEoBUiQomw2DhqBoARi/S0khtjtdBpl7hH0sMk6p/r29Ucu9CD1HPg7XsAJ0mHq4dx1/CqNPHOo9soQu0bo2SkC1QiQIFXjylYRaJOAP1DH2IPEELvRZ6l7kepMkAY9SCRIo9uDpcsCTpD8ueWI5UVN38v30xE4yec3kJpuCvaPwAIFSJAWiMmmEGipQKwJEkPsVpyw+e76Zv7FWuTk6OW6rw+j+ZsUG1astvgH/nB5sy5D2rb4TbPFxAT8O0OeSntjQPUa/AbSUkDHxKEggMCcAiRIcwLycgQQ6A7JirEHiSF2O07efF/d/YLiJYp/V1ymOFtxbO9x/mjdVlXcg8T1R1XpJrXdzBPC+NwM6beQPEHDbUrwf5IUNZVBoOUCJEgtPwGoPgILEIiwB6n7w7b+YM4sdr0T4Bzd+Md+j1L4vhLe7M26fYTiHYoPqiepqt+6cg8Sw+uEQCkl4GF2ISVI7kHaVOrIWQkBBKIRIEGKpqk4UASCFYgwQeq498hTSzOLXSc/Ug5PU/yaSDzhhq9BOlAJkRKX7jf2HnZ3reL5iioKPUhVqKa7zRATJIbXpXu+UbOWCpAgtbThqTYCCxSINUEyAT1Inc5Py2GzkqGvGUTFCZLLw3o33WuDPqT7Xq+KQg9SFarpbjO0BMlD7EiQ0j3fqFlLBUiQWtrwVBuBBQrEmCB5Brs7lBQwtKvT2UMWtyyfD12TT+jxx9SLdKHi8bqvSRS66y2vtrh79CAtzrINW3KCtFHnpXuAQygeYvejEA6EY0AAgcUJkCAtzpItIdBWAQ/L2jegDyxl2sFD7DxsjNLpfFsI91H7FSbayJ6gZScqblR8VPESxXat42Rq0YUepEWLpr09J0iacbFzSCDVpAcpkIbgMBBYpAAJ0iI12RYC7RRwD9IahZKkaIoTJK4/6jXX53WzWfF/ew8Hf7MvqYftF/XodMVeiuMUlytJerVikR9O6UESLKW0wGVaU8l6CBM15Gt1HH4voQdJCBQEUhIgQUqpNakLAs0IOEFyKfRA9BYE/Ncfarj+qNtA2Z26eZbiNCU+71Xcr7u426OU/47ue1a71yicFL1M8QuKzVrv3YoTdH/eQg/SvIKten22RdW9QnHPAKrt3iN/jloK4Fg4BAQQWKAACdICMdkUAi0VuK5f75gSJF+DRIK044TN/lV3PQnDEYpLlfhs1a2HTv6e4rfUk/QHilsVnvr7/oqnKA5UXKJ11QOVK2nK1+jxLIUepFnU2v2aUCZqcIKUK65ud3NQewTSE2h7guQ3N1+A/EBFFWPr0ztjqBECOwlkt2mRPjxH14PEELsVbelZ7DLPXLdR4WuQjleo1yh7q24LxVN/Z5rAIftZLXyAQglV510KfWjNX6xwj9A0hR6kabRY1wKhJEieoOFy/VvwFwoUBBBISCD1BOlMtdX5iuHk52gt+7Jis8KzNX1d4W+A/G3prN+C6qUUBForENtMdndTS9GDNPJ0zS7TB75PKZwwbRu5yo6F2X9oHb/PHqZ4i+JFCg1/yl+vuLfuTyi5/v/Jj9EKvnbN13JQECgrEFKCtFT2oFkPAQQQCEXgXB2Iu7+L32gersfX95c7SfKQESdRHtPsdV+nqLs8Vzv0vn0hNAWBCAVyfcmQ+8NxJCX3h/hfieRgIzpMX7SeP1PxJYVnvfv/isfsXIH82Vp+pULvezvi87p/7M7rsgSBYYH8VJ0rg2sfh5+s8XH+dh3He2rcIbtCIGSBXXVw/izrGVApgQuMSpD8ZuYG/PWhY99TjwfPPW7ouaofPlc7IEGqWpntVyiQX6RT+NUV7mDBm87v0PF6eC2lMoH84TL+O8Wdim8onBRpeub8jxW3K9Rjn2uIXjdBeopu/15xi+IhlR0SG05EIH9Q/7zx9WsNlvyfdBx/2uABsGsEQhIgQQqpNVY5llEJ0mV6jb7dHFk8FM8XJtf9hkeCNLI5WBiPQP4+fVBwb2wEJdeHqu6Hcl97SKlcIP8peb9W8RPFdQr3LJ3W221+H93Xl0ODacPzd+j+dxQMda68XWLewY5/w75OrsGSf0/n6vMbPAB2jUBIAkklSLuEJFvTsazXfr45Zl+3abn+c+4cNeZ5FiOAwGiBmK5Bunu/ClyDNLotF7w0W9J1Smdpo75Oye+9tyr05VV+nm5PUrh42LOLf5D2nopH+gEFgdECmc8Xv+f4XGmyaBITfgOpyQZg3whUJdDGBOmrwjx6DOj+Wv5ghSdsoCCAQHmBmBIkT9DgIa3Xlq8ea84vkGn4XLecrb9PUxyseItCM4B5CnGXzD3431Vo6B0FgYkCm/TsxolrVPpk7veRvRRLle6GjSOAQCMCuqC2FeUS1fIrCidHFyterjhF8WHFoGgYSOfPFO4i/Nxg4Yy3mV53osLbKlPuU2Yl1kEgYIHYEiQN92Jq3gbOJ1171NlT9h/VrSJ3b/3wF1b+0HmHgoLAJIEf6skme5Du0T+4yycdJM8hgAACIQo8XQd1gcLfNPkb42IUv/V5sp7z7xj4+X9ROMGZp/hN2//BF/dX5r4/GFAQiFAg/2Wd7lfEceD5C3Ssmp6aUr9A/oc9e0/xParkui6se03S/UY9yzIElgU8KUz+6eXHdd/r/jiyrqmjIIBAX8CdAv6s6w6C6MuY/6Sir9egAn+vOx7KsVFxV8VJit9WvFNRfGNdo8e+/sg/iHiywg08T/E3W7spnGiViefNszNei0AAAu5B2i+A4yhzCL4G6T/LrMg6CxfwRB4HKdxbP1Rynz/vUHxIb5sksEM6PNxJoOkepJ/SES3tdFQsQACBJATaMsTOjXWD4nP98ONi0VSdHV9/5F4kCgIITC/gBGkPfbfg4VP960mm30hNr/C1A0zQUBP2yt1kcvdv2HT+QbcP1e3fKtwWHmr36/37z9YtBYHVBJwgaeKPXN9aZ1tWW7mC5++hbZIgVQDLJhEIQWCXEA6iwWNYp33rQ13H4+JJjhpsCHYdvYATJBd/0RB6IUFqtIWyi7R7DaXraIrkzh8p3qP4RcVfKx6uD7sMWxIEZVUBJ0j+DHPEqmtWs4J7kH5UzabZKgIINC3Q9gTpbDWAv+0+vumGYP8IRC7wX/3jPyCCeniIHT1IjTZUpg+32RkKfcjM1iuOVWjYXXZbo4fFzmMSuEoH6y83m5qogR6kmM4WjhWBKQXaniBNycXqCCAwRuBGLd+miKUH6T/H1IPFCCAQhUCW6zA3KZpKkOhBiuI84SARmE2ABGk2N16FAAIrBLofVjzMLpYEiR6kFe3HAwSiFPAwuwYSpNyTMPm9bilKNQ4aAQRWFSBBWpWIFRBAoKRABAmSL+juzmhJglSyUVkNgYAFGkqQutc9ZXIhQQr45ODQEJhHgARpHj1eiwACRYEIEqSOJ2hwYYhdz4G/CMQs0FSC5OF1dyp4H4n57OHYEZgg0KZpvkcxvFsLv6q4bNSTLEMAgakEYkqQ6EGaqmlZGYEgBZwgaRa7XL053WG+dR2kEyT1HmXb6toh+0EAgXoF2p4gfUXcDgoCCMwvEEOC5Bns7tAHG08qQUEAgbgFnCDtrjhUcUWNVWEGuxqx2RUCTQgwxK4JdfaJQJoCMSRIHmLHsJg0zz9q1T6BzarydkXdEzUwg137zjVq3DIBEqSWNTjVRaBCAf8WUui/g8SPxFZ4ArBpBOoVyLZof5cr6k6Q6EGqt6HZGwK1C5Ag1U7ODhFIViCGHiR+JDbZ04+KtVSgiYka6EFq6clGtdsjQILUnrampghULRBDgsQQu6rPAraPQL0CTpA21rdLTwjROUSxVN8+2RMCCNQtQIJUtzj7QyBdASdI6zWj1JqAq8gQu4Abh0NDYAaBTXpNnUPsnBz5h2JJkGZoLF6CQCwCJEixtBTHiUD4Ak6Q/O2qf2E+1EKCFGrLcFwIzCZQ9xA7D69zqXPWvN4e+YsAArUJkCDVRs2OEEhewAmSS8gJkq9BYha7bjPxB4EkBJwg7aee67vWVBsnSNfqu6Bbatofu0EAgQYESJAaQGeXCCQqcF2/XiEnSAfqGPmR2ERPQKrVSgEnSC51DbNjBrueN38RSFqABCnp5qVyCNQpkG3V3vwDrIEmSPm+OrZ1ChIkIVAQSEMgu0H1cO91XQkSM9ilceJQCwQmCpAgTeThSQQQmFIg5N9C8vA6FxKkngN/EUhFoM7rkOhBSuWsoR4ITBAgQZqAw1MIIDC1gL/JDbQHqeMJGnKFrh+gIIBAQgJ1Jkj0ICV04lAVBMYJkCCNk2E5AgjMIhB6gqTrpLI7Z6kYr0EAgWAF6k6QloKV4MAQQGAhAiRIC2FkIwgg0BcIOUHyEDuG13GqIpCeQE0JUr6X6DxbHglSeucQNUJghQAJ0goOHiCAwJwCISdIHmLHFN9zNjAvRyBAASdIh2oErX/AtcpyRH/jP6pyJ2wbAQSaFyBBar4NOAIEUhIIPUGiBymls426INATcILkzzODBKYqF19/dIfCk9FQEEAgYQESpIQbl6oh0IBAyAkSQ+waOCHYJQI1CFytfdymqHqqb89gp96jzJO9UBBAIGEBEqSEG5eqIdCAQMgJEkPsGjgh2CUC1Qt0E5ZN2k/VCRIz2FXfmOwBgSAESJCCaAYOAoFkBDz0ZL9Aa+MEiSF2gTYOh4XAnAJ1TNTAbyDN2Ui8HIFYBEiQYmkpjhOBOATcg7ROF0vfJcDDZYhdgI3CISGwIIE6EiR6kBbUWGwGgdAFSJBCbyGOD4G4BJwguQT2Y7Hd2a3W67iYxa7bPPxBIDkBJ0gbK66VE6SlivfB5hFAIAABEqQAGoFDQCAhgUATpI6H17kwxK7nwF8EUhPwNUiaxS7PqqlYvkbbPVhBglQNMFtFICgBEqSgmoODQSB2gewW1WCLIrAeJBKk2M8sjh+BVQTcg7S7Qr+HVEk5TFtdq9AsdhQEEEhdgAQp9RamfgjUL+CJGkJLkHz90e2anvem+jnYIwII1CCwWfvYrqhqJjsPr/P03lcqKAggkLgACVLiDUz1EGhAIMSpvpniu4ETgV0iUJ9A5p7ryxVVJUiewe4afcniH4qlIIBA4gIkSIk3MNVDoAGBUBMkrj9q4GRglwjUKFDlTHbuQWJ4XY2Nya4QaFKABKlJffaNQJoCHmJ3QGBVY4rvwBqEw0GgAoEqEyR+A6mCBmOTCIQqQIIUastwXAjEKxBqDxJTfMd7TnHkCJQRqDJBogepTAuwDgKJCJAgJdKQVAOBgARCTZAYYhfQScKhIFCBQNUJ0lIFx8wmEUAgQAESpAAbhUNCIHKBEBMkhthFflJx+AiUEHCCtK8mm1MsvHiabxKkhbOyQQTCFCBBCrNdOCoEYhYIMUFiFruYzyiOHYFyAk6QXBY8k12+n7a5XsEkDdalINACARKkFjQyVUSgZoHAEqQ8U/0PVDDEruYTgd0hUK9AdqP250liFpwgdXz9kQs9SD0H/iKQvAAJUvJNTAURqF3ACdJeGuayW+17Hr1Df/u7VkGCNNqHpQikJFDFdUiewe4W/QbST1KCoi4IIDBegARpvA3PIIDAbAJOkFz27900/tfD61yYxa7nwF8EUhaoIkFyD9LmlNGoGwIIrBQgQVrpwSMEEJhfwENcXEL5LSQnSLlicFw+NgoCCKQpUEWCxG8gpXmuUCsExgqQII2l4QkEEJhR4Hq9brsilB4kz2CnXq1s24z14WUIIBCPQBUJEr+BFE/7c6QILESABGkhjGwEAQSWBTInRx6rH0qCxAx2y43DPQRSF3CCdOiCr4F0grSUOhz1QwCBZQESpGUL7iGAwOIEQprJzgkSEzQsrm3ZEgIhC2zSwXnmyiMWeJAMsVsgJptCIAYBEqQYWoljRCA+ARKk+NqMI0YgBYGrVYnbFAua6jtfp235SxZ+A0kIFATaIkCC1JaWpp4I1CsQUoLka5CYwa7e9mdvCDQkkHlCFvciLShB6v4Gkj8rLTVUIXaLAAINCJAgNYDOLhFogUBICRJD7FpwwlFFBAoCi5yowcPrfF3lVYXtcxcBBBIXIEFKvIGpHgINCZAgNQTPbhFAoLPIBMkTNFyhy5ruxBUBBNojQILUnrampgjUKeDfHArld5A8xI5JGupsffaFQLMCi0yQmKCh2bZk7wg0IkCC1Ag7O0UgeYFAepDy3SW9j4JrkJI/5aggAjsEnCBpFrt8EZ9x3IPEBA07aLmDQDsEFvHm0Q4paokAAtMIBJIgdWef8nHTgzRN67EuAnELOEHaTaHfQ5q7OEFamnsrbAABBKISIEGKqrk4WASiEXCCdNcFfYM7T6U9vM6FBKnnwF8E2iCwWZXcpljETHYMsWvDGUMdERgSIEEaAuEhAggsRMAJkt9f9l3I1mbfiGew02+iZDfPvgleiQACcQlkW3W8lysWkSAdpu0wxC6uE4CjRWBuARKkuQnZAAIIjBBwguSyf++msb9OkLj+qDF+doxAYwILmKgh9/vHHoqlxmrBjhFAoBEBEqRG2NkpAskLhJIgMYNd8qcaFURgpMACEqSOh9e5uDeKggACLRIgQWpRY1NVBOoTyO7Qvm5R0INUHzp7QgCBZYFFJEieoOEnGqJ74/JmuYcAAm0QIEFqQytTRwSaEQjht5A8RIYJGpppf/aKQJMCi0iQmKChyRZk3wg0KECC1CA+u0YgcQEPs2u6B4khdomfZFQPgTECTpA8k+Z+Y54vs5jfQCqjxDoIJChAgpRgo1IlBAIRCCFBYpKGQE4GDgOBmgU29fe3cY798htIc+DxUgRiFiBBirn1OHYEwhYIJUFiiF3Y5wlHh0AFAt3rhjzMd56pvhliV0HLsEkEYhAgQYqhlThGBOIUaDhByjOxHaAgQYrz/OGoEZhXYN7rkBhiN28L8HoEIhUgQYq04ThsBCIQaDhB6l7/tFZO/A5SBCcLh4hABQJzJEj57joef8GyVMFxsUkEEAhcgAQp8Abi8BCIWKDpBMnXH7nQg9Rz4C8CbROYI0HqbOhjkSC17ayhvghIgASJ0wABBKoSCCFB2q7K+TgoCCDQPoF5EiQPr9uquKZ9bNQYAQRIkDgHEECgKgFfIN3kNN+e4lvJUbatqgqyXQQQCFrACdKhmurbw+WmLZ6g4XK9f/hLFgoCCLRMgASpZQ1OdRGoUcA9N7vpw8neNe6zuCum+C5qcB+B9gk4QfJkLUfMUHUmaJgBjZcgkIoACVIqLUk9EAhPYDC0raleJCdIXH8U3nnBESFQk0B2tXZ0q2KWqb6dIC3VdKDsBgEEAhMgQQqsQTgcBBISaDpB8hA7EqSETiiqgsAMApv0mlkSJH4DaQZsXoJAKgIkSKm0JPVAIDiB7g813qnDarIHiSm+gzsvOCAEahWYdaIGhtjV2kzsDIGwBEiQwmoPjgaB1ATci9RkgkQPUmpnFPVBYDqBGRKk7o9Ma3IHhthNR83aCKQjQIKUTltSEwRCFGgyQWKIXYhnBMeEQL0CMyRInUN0iLsqluo9VPaGAAKhCJAghdISHAcCaQo0mSAxi12a5xS1QmAaASdIGzSb5jSfdzy8zkXTfFMQQKCNAtO8YbTRhzojgMB8Av4tpAPm28Qsr8730Ks8vThD7Gbh4zUIpCPgBEk/N9A5bIoqeYKGazVDuGfAoyCAQAsFSJBa2OhUGYEaBZrqQfLwOhcSpJ4DfxFoq8CPVPFtimlmsmOChraeLdQbgb4ACRKnAgIIVCnQVILk4XUuzGLXc+AvAi0VyLaq4kuKjVMAOEHyaygIINBSARKkljY81UagJoEmE6RbGCJTUyuzGwTCFtikw5umB4nfQAq7PTk6BCoXIEGqnJgdINBqgSYTJIbXtfrUo/II7BCYdiY7htjtoOMOAu0UIEFqZ7tTawTqEmgqQTpIFWR4XV2tzH4QCFtglgSJIXZhtylHh0ClAiRIlfKycQRaL+AEab2m2F1XvUTu/fypYrP29WrF8br/AcXR1e+bPSCAQMACUyRI+T6qx10VJEgBNyiHhkDVAiRIVQuzfQTaLeAEyWW/3k1Vf3P3GH1Z8QzFaxUXKT6n2F2h5fkpuqUggEA7BZwgKenJy7wP+fojF89+R0EAgZYKkCC1tOGpNgI1Cfh3kFyq/i2k87QPJ2MP1MQMb9St39su0f2f1616lTrn68PRIbqlIIBA+wScILmUmajBCdLteu/Q7yBREECgrQIkSG1teeqNQD0CP9FucsX+1e0uP0bbPlnxHH2oubm/H0/zPbgG6VW671msXtB/jhsEEGiVQHaTquuEp0yCxAQNrTo3qCwCowVIkEa7sBQBBBYikN2pzdygqDBB6jxM29c3xNl/9A45z3TrIXf9WewyJ2gfVXg9CgIItFOg7HVITpCW2klErRFAYCBAgjSQ4BYBBKoS8NC3KhOktdr+HYWD95A6X3v0pcIyP+/1KAgg0E6BsgmSh9iRILXzHKHWCOwQIEHaQcEdBBCoSKDqBOkbOu4jNZJPvUb583X/dxVPV4/SZYX6nKT7Xo+CAALtFCibIDHErp3nB7VGYIUACdIKDh4ggEAFAlUnSBfrmC9V/J3ibxTPU3L0Sd32S+6Z7R6peNtgCbcIINA6gWkSJHqQWnd6UGEEVgqQIK304BECCCxeoOIEKduuQ36N4qcV7jX6vnqSPKXvfRQebvcexVlKmr6lWwoCCLRTwAmSZrLMPfx2TMnX6AnPdkmCNEaIxQi0RYAx+W1paeqJQHMCTpA2VLf7fKO2/ZeKCxT+8PNZhT/ouHxP8YtKjj7YfcQfBBBoq4ATJE/g4vcL9ziPKodpod87+A2kUTosQ6BFAiRILWpsqopAQwL+LaQTqtl37skfPqb4usKJkGbNy/fVfV9HcL0e80FHEBQEEMiu0XvDrXLwVN/jEiRP0JArrlBQEECgxQIkSC1ufKqOQE0CFQ2x6w6V+bDq4A89p/aSI9c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      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(d, type='o', col='blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Minimum norm\n",
    "\n",
    "Rmember that our system is underdetermined: the matrix **G** is 'fat' (more columns than rows). So we can compute the minimum norm solution via the right inverse:\n",
    "\n",
    "$$ \\mathbf{\\hat{m}} = \\mathbf{G}^\\mathrm{T} ( \\mathbf{G}  \\mathbf{G}^\\mathrm{T} )^{-1} \\mathbf{d} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "m_est <- t(G) %*% solve(G %*% t(G)) %*% d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "d_pred <- G %*% m_est"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<path style=\"fill:none;stroke-width:0.75;stroke-linecap:round;stroke-linejoin:round;stroke:rgb(100%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 461.101562 278.015625 C 461.101562 281.617188 455.699219 281.617188 455.699219 278.015625 C 455.699219 274.417969 461.101562 274.417969 461.101562 278.015625 \"/>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(m, type='o', col='blue')\n",
    "lines(m_est, type='o', col='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Original model norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tbody>\n",
       "\t<tr><td>0.05858362</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{l}\n",
       "\t 0.05858362\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "0.0585836155444569"
      ],
      "text/plain": [
       "           [,1]\n",
       "[1,] 0.05858362"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t(m) %*% m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### New model norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tbody>\n",
       "\t<tr><td>0.02741979</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{l}\n",
       "\t 0.02741979\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "0.0274197932827243"
      ],
      "text/plain": [
       "           [,1]\n",
       "[1,] 0.02741979"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t(m_est) %*% m_est"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the predicted data `d_pred` matches the original data `d` perfectly. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "plot without title"
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   ],
   "source": [
    "plot(d, type='o', col='blue')\n",
    "lines(d_pred, type='o', col='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using R's solver directly... but only if `G` is square"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "m_est <- solve(G, d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Another example\n",
    "\n",
    "http://www.r-bloggers.com/dont-invert-that-matrix-why-and-how/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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